# Linear Systems with Addition or Subtraction

### Topic Page

Linear Systems with Addition or Subtraction### Questions

- What if the elimination method results in 0=0?
- How do you use the addition and subtraction method to solve a linear system?
- Can any system be solved using the addition and subtraction method?
- When is the addition and subtraction method easier to use?
- How do you solve #-x-6y=-18# and #x-6y=-6# using the addition and subtraction method?
- How do you solve #5x-3y=-14# and #x-3y=2# using elimination?
- Do you need to add or subtract the equations #5x+7y=-31# and #5x-9y=17# to solve the system?
- How do you solve the system of equations #3y-4x=-33# and #5x-3y=40.5#?
- What is the solution to the system #x+y=2# and #x-y=6#?
- What is the common point of #x+2y=6# and #x+y=2#?
- How do you use the addition and subtraction method to solve #4x+6y=16# and #3x-2y=-1#?
- How do you solve the system #x+y=4# and #x-y=2#?
- How do you find the ordered pair that is a solution to the system of equations #x + y = 10# and #x - y = 8#?
- How do you solve for x in #x + y = 6# and #x – y = 4#?
- How do you solve for y: #2x + y = 8# , #2x - y = 8#?
- How do you solve algebraically #x+y=2# and #x-y=4#?
- How do you solve #x + y = 7/10# and #x - y = 5/14#?
- How do you find the solution of the system of equations #3x-y=1# and #x+y=3#?
- How do you find the solution of the system of equations #x+y= -3# and #x+y=3#?
- How do you find the solution of the system of equations #2x-y= -3# and #x+y=3#?
- How do you find the solution of the system of equations #x+y=7 # and #x-y=-3#?
- How do you find the solution of the system of equations #3x - y = 9 # and #2x + y = 6 #?
- How do you find the solution of the system of equations #x + y = -7 # and #3x + y = -9 #?
- How do you find the solution of the system of equations #x + 3y = 19 # and #x - y = -1 #?
- How do you find the solution of the system of equations #x+y=7# and # 2x-y=2#?
- How do you solve by elimination #x + y = 2# and #2x + y = -1#?
- How do you solve the system #7x + 2y = 2# and #6x - 2y = 8#?
- How do you solve the system #8x + 3y= -9# and #-8x + y = 29# by elimination?
- How do you solve the system using elimination #3a + b = -1# and #-3a + b = 5#?
- How do you solve the system using elimination # x - y = 12# and #2x + y =3#?
- How do you solve the system using elimination #x + y = 5# and #x - y = -1#?
- How do you solve the system #x + y = 2# and #2x + y = -1#?
- How do you solve the simultaneous equations #4x + y = -1# and #4x - 3y = 7#?
- How do you solve the simultaneous equations #4x + 3y = 11# and #4x - 2y = 6#?
- How do you solve the simultaneous equations #x + 2y = 5# and #3x - 2y + 7#?
- How do you solve the simultaneous equations #4x - y = 5# and #2x + y = -2#?
- How do you solve the simultaneous equations #4x + y = 9 # and #2x - y = 3#?
- How do you solve the simultaneous equations #2x + y = 12# and #x + y = 7#?
- How do you solve the simultaneous equations #x + y = 3# and #x + 2y = 5#?
- Question #e37ed
- How do you solve 3x+2y=5 and 2x+5y=-3?
- How do you solve 7x -7y = 6 and 35x -35y= -2?
- How do you solve x+y=7 and x-y=-3?
- A plane flies 3360 miles in 6 hour tailwind. Returning against the wing it takes 7 hours. What's the speed of the plane with no wind and find the speed of the wind?
- How do you solve 2x+5y=3 and x-3y=7?
- How do you solve #x+2y=1# and #3x-4y=1#?
- How do you solve x+y=1 and 2x-y=2?
- Question #f43e1
- With a tail wind, a plane traveled 800 mi in 5 hours. With a head wind, the plane traveled the same distance in 8 hours. Which system of equations could be used to solve this problem?
- The admission for a school play is $4.00 for students and $2.00 for adults. On Saturday 200 people attended with ticket sales totaling $500. Which system of equations would be used to solve this problem?
- Is the sum of two invertible matrices necessarily invertible?
- Is the sum of an invertible matrix with a non-invertible matrix necessarily non-invertible?
- How do you simplify #(x^2+ 3x) - (x^2+ 2x + 3)#?
- How do you solve using elimination of #4x-5y= -1 # and #2x+y=5#?
- How do you solve using elimination of #-2x=6y+18# and #-29=5y-3x#?
- How do you solve using elimination of #4x+3y= -1# and #2x+5y=3#?
- How do you solve using elimination of #5x+4y+2=0 # and #4x-5y-23=0#?
- How do you solve using elimination of #3x=10-2y# and #5x-6y+30=0#?
- How do you solve using elimination of #2x - 3y = 12# and #3x + 5y = -1#?
- How do you solve using elimination of #-3x + 4y = -11# and #-5x - 2y = -27#?
- How do you solve using elimination of #5m + 3n = 1.5# and #-8m - 2n = 20#?
- How do you solve using elimination of #3x-2y=-1# and #3x-4y=9#?
- How do you solve using elimination of #x-y=-3# and #5x+3y=1#?
- How do you solve using elimination of #x-15y=3# and #3x+y=21#?
- How do you solve using elimination of #-2x+3y=-5# and #-x+6y=-1#?
- How do you solve using elimination of #x+y=10# and #x-y=2#?
- How do you solve using elimination of #3x+6y=12# and #2x-2.5y=13#?
- How do you solve using elimination of #2x+y=4# and #-2x-y=4#?
- How do you solve using elimination of #2x+5y=17# and #6x-5y=-9#?
- How do you solve 3x+4y=2 and x-y+6?
- How do you solve #3x+y=4# and #2x+y=1#?
- How do you solve x+y=6 and x-y=2?
- How do you solve x+2y=5 and 2x-3y=-4?
- How do you solve y= -x and y= x+9?
- How do you solve y= 3x +1 and y= 3x - 8?
- How do you solve 4x + y = -3 and 5x - y= -6?
- How do you solve -2x + y = -1 and x + y = 5?
- How do you solve x+y=4 and x-y=2?
- How do you solve x = 4y + 8 and 2x - 8y = -3?
- How do you solve y = 2x + 9 and 2x - y = -9?
- How do you solve 7/4x – 5/2y = 2 and 1/4x + 7/2y = 8?
- How do you solve -4x+y=-11 and 2x-3y=5?
- How do you solve 3x - 10y = -25 and 4x + 40y = 20?
- How do you solve 3x+2y = -9 and -10x + 5y = - 5?
- How do you solve x+y=-1 and x-y=3?
- How do you solve x-2y=2 and y= -1/2x-5?
- How do you solve using the addition method and determine if the system is independant, dependant, inconsistant given -3x+2y=8 and 3x+2y=8?
- How do you solve x+y=7 and 2x-y=2?
- What is the solution of the following linear system?: #x + 3y − 2z = 1 , 5x + 16y − 5z = −5 , x + 7y + 19z= −41 #?
- How do you solve the following linear system: #3x + 2y = –5 , x-2y=13 #?
- How do you solve the following linear system: # –3x + 2y = 12 , 5x + 2y = -4 #?
- How do you solve the following linear system: # -x+2y=-6 , 5x-2y=-35 #?
- How do you solve the following linear system: #4x-y=-4 , 3x+3y=-18 #?
- How do you solve the following linear system: # 5x-3y=-14 , x+3y=2 #?
- What is the solution of the following system?:# 9x + 9y + z = -112, 8x + 5y - 9z = -137, 7x + 4y + 3z = -64#
- What is the solution of the following system?:# x + 9y + z = -12, x + y - 9z = 7, -12x + 4y + z = -4#
- What is the solution of the following system?:#5 x + 3y + -2z = -12, x + 7y - 9z = 7, x + -y + z = -4#
- How do you solve the system a+b=11 and 3a-2b=8?
- How do you solve the system s+r=0 and r-s=6?
- How do you solve the system #3x + 6y = 30# and #x + 6y = 20#?
- How do you solve the system #3y-8x=24 and 3y+2x=9#?
- How do you solve the following system of equations?: #x+y= -2 , x - y= 10#?
- How do you solve the following system of equations?: #x+y= -2 , 4x+3y=8 #?
- How do you solve the following system of equations?: #4x+3y=8 , x - y= 10#?
- How do you solve the following system of equations?: #x+y= -2 , x-2y=13#?
- How do you solve the following system of equations?: #x-2y=13 , x - y= 10#?
- How do you solve the following system of equations?: #x-2y=13 , 4x+3y=8#?
- How do you solve the following system of equations?: #3x-y=7 , 4x+3y=8#?
- How do you solve the following system of equations?: #x-2y=13 , 3x-y=7#?
- How do you solve the following system of equations?: #x-2y=13 , 3x – 2y = -7#?
- How do you solve the following system of equations?: #3x – 2y = -7 , 4x+3y=8#?
- How do you solve the following system of equations?: #x-2y=13 , -9x + 6y = 2#?
- How do you solve the following system of equations?: #-9x + 6y = 2 , 4x+y=8#?
- How do you solve the following system of equations?: #-x- 6y = 2 , 4x+y=8#?
- How do you solve the following system of equations?: #-x- 16y = 12 , 12x+y=8#?
- How do you solve the following system of equations?: #-x – 2y = 12 , 12x+y=8#?
- How do you solve the following system of equations?: #-x – 2y = 12 , 6-7x +y=0#?
- How do you solve the following system of equations?: #-x – 2y = 12 , 7x + 3y=10#?
- How do you solve the following system of equations?: #4x – 5y = 14 , 7x + 3y=10#?
- How do you solve the following system of equations?: #4x – y = 14 , 7x + 3y=10#?
- How do you solve the following system of equations?: #4x – y = 14 , -3x + 3y=10#?
- How do you solve the following system of equations?: #4x – 5y = 14 , 2x + 15y = -4#?
- How do you solve the following system of equations?: #2x + 15y = -4 , -3x + 3y=10#?
- How do you solve the following system of equations?: #2x + 15y = -4 , -x + 3y=12#?
- How do you solve the following system of equations?: #2x + 15y = -4 , -2x +3y=12#?
- How do you solve the following system of equations?: #10x – 30y = -1, -2x +3y=12#?
- How do you solve the following system of equations?: #2x + y = 8 , -2x +3y=12#?
- How do you solve the following system of equations?: #10x – 30y = -1, 2x + y = 8 #?
- How do you solve the following system of equations?: #x + y = 4, 2x + y = 8 #?
- How do you solve the following system of equations?: #13x+3y=16, 7x-5y=69#?
- How do you solve the following system of equations?: #13x+3y=16, 17x-y=19#?
- How do you solve the following system of equations?: #13x+13y=16, 3x + 19y=19#?
- How do you solve the following system of equations?: #13x+13y=16, 3x + 19y=19#?
- How do you solve the following system of equations?: #-3x+y=6, 3x + 19y=19#?
- How do you solve the following system: #4x-5y= -1, 2x+9y=5 #?
- How do you solve the system #x+y=7# and #2x-y=2# by addition?
- How do you solve the system by addition #x + y = 4# and #x – y = 6#?
- How do you solve the system by addition #–2x – 3y = –17# and #x + 4y = 16#?
- How do you solve the system by substitution #x + y = 12# and #y = 2x#?
- How do you solve the system by substitution #x – 4y = –19# and #–4x – 5y = 13#?
- How do you solve the system by graphing #x+y=4# and #3x-2y=2#?
- How do you solve the system 5x - y = 3 and -10x + 2y = -6?
- How do you solve the system 6x + 2y = 10 and -6x - 2y = 12?
- How do you solve the system y = 5x and 2x + 3y = 34?
- The sum of two numbers is 51. Their difference is 13. What is the smaller of the two numbers?
- How do you solve the system 4x + 7y = 6 and 6x + y = 2?
- How do you solve the system 3x - 5y = -16 and 2x + 5y = 31?
- How do you solve the system 2x + 7y = 3 and x = 1 - 4y?
- How do you solve 3x+2y=5 and 2x+5y=-3?
- How do you solve –2x – 3y = –17 and x + 4y = 16?
- How do you solve x+2y=4 and 3x-4y=7?
- How do you solve #8/(x-7) = 7/2#?
- How do you solve the system #x+y=2# and #x-y=4#?
- How do you solve the system #x+y=1# and #2x-y=2#?
- How do you solve the system #x+y=12# and #x-y=2#?
- How do you solve #3x + y = 1# and #x – y = 3#?
- How do you solve #x+y=15# and #x-y=-3#?
- How do you solve #x+y=6# and #x-y=9#?
- How do you solve #y=x-1# and #x+y=3#?
- How do you solve #x+y=5# and #3x-y=3#?
- How do you solve #x-y=4# and #x+y=12#?
- How do you solve the system #x + y = 15# and #x – y = -19#?
- How do you solve #3x+5y=7# and #2x-y=9#?
- How do you solve #y=x-5# and #4x+2y=8#?
- How do you solve #4x - 3y = 22 # and #4x + 5y = 6#?
- How do you solve #2x-3y=21# and #5x-2y=25#?
- How do you solve #-13x-17y=15# and #x+y=-3#?
- How do you solve #3x - y = 10# and #-x + y = -4#?
- How do you solve #x + 4y = 19# and #y = -2x - 4#?
- How do you solve #x =y+11# and #2x + y = -2#?
- How do you solve #2x-4y=4# and #x + 4y = 14#?
- How do you solve #5x+y=5# and #10x + 3y = 20#?
- How do you solve Y=2x-3 and y=-x+3?
- How do you find the ordered pair that is the solution of equations y= -x-5 y= x+1?
- How do you find the ordered pair that is the solution of equations 5x - 4y + 3 = 15 and 9y = 4x + 31?
- Does the ordered pair (-3,2) satisfy both x+y=-1 and 2x+5y=4?
- How do you write the the ordered pair that is the solution to the following system of equations: #y= 2x + 1# and #y = x -5#?
- How do you write the the ordered pair that is the solution to the following system of equations: #-3x + y = 4# and #-7x + y = 12?#
- How do you write the the ordered pair that is the solution to the following system of equations: 5x - 2y = 3 and 3x + 4y = 7?
- How do you solve y=2x+4 and 2y-3x=11?
- How do you solve 4x+2y=-8 and -2x+3y=12?
- How do you solve #3x-y= 4# and #2x-3y= -9#?
- How do you solve x+5y=-7 and -x+2y=-8?
- How do you solve the system #2x+4y=14# and #-3x-3y=-9# analytically?
- How do you solve the system of equations: #2x-y=6#, #4x-2y=-3# ?
- How do you solve #-4x – 6y = -28# and #2x + 3y = 14 #?
- Question #b1d06
- How do you solve the system of equations #x-6y=-3# and #2x+3y=9#?
- What is #y# and #x# when #y= 2x-11# and #y= x- 8# ?
- What is #x# and #y# in this system of equations: #5x+y = -1# and #y=6x+10# ?
- Question #9a21e
- Question #73bfa
- Solve this system? #-6=3x-6y# and #4x=4+5y#
- Question #4112a
- Question #29def
- Pratap Puri rowed 18 miles down the Delaware River in 2 hours, but the return trip took him 42 hours. How do you find the rate Pratap can row in still water and find the rate of the current?
- Suppose A and B represent linear expressions. If A+ B=2x -2 and A -B=4x-8, how do you find A and B?
- Suppose A and B represent linear expressions. If A+ B=2x -2 and A -B=4x-8, how do you find A and B?
- How do you solve the system of linear equations given #y=2x-3, y-2x=-3#?
- Question #30c88
- How do you solve the system #6y+3x=18, -x+4y=24#?
- How do you solve the following system of equations algebraically: 3x + 2y = 4, 4x + 3y = 7?
- How do you solve the system of equations #x+ y = 3# and #x = 3y - 5#?
- Question #6a010
- Question #15aab
- How do you solve the system #y-x=-1, x+y=8#?
- How do you solve the system #-2x+15y=-24, 2x+9y=24#?
- How do you solve this set of linear equations: #3x + 2y + 6= - 17+ 7y - x; 3x + x = y + 5#?
- How do you solve the system of equations #13x - 5y = 20# and #13x - 5y = 10#?
- Solve the equations #x=y+2# and #3x-4y=-5#?
- How do you solve the system #3x+2y=2, -2x+y=8#?
- What is the result when #8x+3# is subtracted from #-2x+5#?
- How do you solve using linear combination: 3x-y=4, 2x+y=6?
- Given the two functions #f(x)=2x-1# and #g(x)=-4/3x+9# how do you determine the point that lies in the solution set for both f(x) and g(x)?
- What is the value of y in the solution to the following system of equations #5x-3y=-112, x-6y=-14#?
- How do you solve the system of equations #6x - 2y = 1# and #2y - 10x = - 5#?
- Question #625d7
- If #x=2y# into #-4x+11y=15#, what are #x#, and #y#?
- What is the solution of the system of equations: #-6x+2y=-8# ?
- How do you solve this set of linear equations: #36x + 19y = 35; 10x + 12y = 19#?
- How construct simultaneous equations from worded problems?
- Question #87e7c
- Question #b8645
- Question #243af
- Question #82fd8
- Question #577ed
- Question #59984
- How do you solve the system of equations #y+ 3= 2x# and #y + 4= 3x#?
- How do you solve the system of equations #-7x + 5y = - 21# and #- x + y = - 5#?
- How do you solve the system of equations #10x - 8y = 5# and #15x - 12y = 1#?
- Question #2ccd8
- How do you solve the system of equations #3x+7y=57# and #-6x+2y=-18#?
- How do you solve the system of equations #8x + 4y = 84# and #9x - 9y = 54#?
- Question #4c170
- Question #4e3ef
- How do you solve the system of equations #2x + 3y = 5# and #x - 2y = 6#?
- How do you solve the system of equations #-8x + 12y = 4# and #- 10x - 2y = 22#?
- How do you solve the system of equations #4y = 9x - 17# and #9x - 6y = 3#?
- How do you solve the system of equations #-4x + 4y = 4# and #y = 9x + 73#?
- How do you solve the system of equations #-2x - 2y = - 4# and #2x + 3y = 9#?
- Question #80df0
- How do you solve the system of equations #-6x + 5y = - 5# and #10x - 10y = 20#?
- How do you solve the system of equations #4x - 5y = - 7# and #4x + 5y = - 17#?
- How do you solve the system of equations #2x + 3y = 18# and #3x - 5= y#?
- How do you solve the system of equations #-\frac { 3} { 4} x + y = - 1# and #- 3x + \frac { 1} { 2} y = 10#?
- How do you solve the system of equations #-2x + 2y = 6# and #4x - 4y = 16#?
- What method can be used to solve linear equations using matrices?
- How do you solve the system of equations #x- y = 7# and #- 2x + 5y = - 8#?
- How do you solve the system of equations #5x - 3y = 1# and #9x - 4y = 6#?
- How do you solve the system of equations #5x - 2y = 12# and # 2x - 3y = 7#?
- How do you solve the system of equations #-2x + 4y = 10 # and #3x - 6y = - 15#?
- How do you solve this system of equations: #0.5x + y = 4.5 , y = x + 3#?
- How do you solve this system of equations: #y= 2x - 7 , 3x + y = 8#?
- How do you solve this system of equations: #6x + y = 7, y + z = 2 , and 4x - z = 4#?
- How do you solve this system of equation: #5x - 6y = 9 and 9- 3y = - x#?
- How do you solve this system of equations: #3x + 5y = 19 and 4x - y = 10#?
- How do you solve the system of equations #2y = 10x + 24# and #5x - y = - 12#?
- How do you solve the system of equations #7x + 2y = - 19# and #- x + 2y = 21#?
- Marcus purchased 5 notebooks and 10 boxes of crayons for $31. Nina went to the same store and bought 10 notebooks and 5 boxes of crayons for $24.50. What is the cost of one notebook and one box of crayons?
- How do you solve the system of equations #x- 4y = - 18# and #2x + y = - 9#?
- How do you solve this system of equations: #2x + 4y = 9; 5x - y = - \frac { 21} { 2}#?
- Question #b8d66
- What is the point of intersection is this system? 3x = y - 2 6x = 4 - 2y
- A system of equations contains the lines x+4y=2 and x−2y=c. When solving the system algebraically, it is determined that x=6. What is the value of c in the second equation?
- What is the value of x+y for the equation? y=4x-5, and y=-4x+19
- X-12y=-7 3x-6y=-21 how do I solve ?