# Solving by Substitution

### Topic Page

Solving by Substitution### Questions

- What is a system of equations?
- What does it mean to solve a system of equations by substitution?
- How do I use substitution to find the solution of the system of equations #c+3d=8# and #c=4d-6#?
- How do you write a system of linear equations in two variables?
- How does a system of linear equations have no solution?
- How many solutions can a system of linear equations have?
- What is the final step of completing a solve by substitution problem?
- How do I use substitution to find the solution of the system of equations #4x+3y=7# and #3x+5y=8#?
- How do I use substitution to find the solution of the system of equations #y=2x+1# and #2y=4x+2#?
- How do I use substitution to find the solution of the system of equations #y=1/3x+7/3# and #y=-5/4x+11/4#?
- How do I use substitution to find the solution of the system of equations #y=-2x-4# and #y+4=-2x#?
- How do you solve the system of #x^2+y^2=8# and #xy=4#?
- How do you solve #x-2y=2# and #y^2-x^2=2x+4#?
- How do you solve the system #y= -2+ln(x-1)#, #3y+2x=9#?
- How do you solve the linear system using substitution #x =17 - 4y#, and #y = x-2#?
- How do you solve the linear system using substitution #x = 16 - 4y# and #3x + 4y = 8#?
- How do you solve the linear system using substitution #0.2x+y=-1.8# and #1.8y + 5.5x =27.6#?
- How do you solve the system #4xy + 4y^2 - 3cos(y) = -2#, #5x^2 - 2xy^2 - 5sin(x) = -5#?
- How do you solve the system #2x - 3y = 4#, # 3y + 2z = 2#, #x - z = -5#?
- How do you solve the system #x - 3y = -3#, #x + 3y = 9#?
- How do you solve the system #y = x - 4#, #y = 3x + 2#?
- How do you solve the system #2x - y = 8#, #x + 2y = 9#?
- How do you solve the system #3x + y = 4#, #-6x - 2y = 12#?
- How do you solve the system #y = -x + 2#, #2y = 4 - 2x#?
- How do you solve the system # y = 2x + 1#, #y = 3x - 7#?
- How do you solve the system #x - y = 4#, #3x - 3y = 6#?
- How do you solve the system #1 + t = 2s#, #-6 + 2t = 4 + s#, #2 + t = 1 + 2s#?
- How do you solve the system #2x + 3y = 2#, #x + 6y = 4#?
- How do you solve the system #x^2 - 2y = 1#, #x^2 + 5y = 29#?
- How do you solve the system #3x^2 - y^2 =1 1 #, #x^2 + 2y = 2#?
- How do you solve the system #xy = 9#, #x^2 + y^2 = 82#?
- How do you solve the system #y - 2x = 3#, #x² + y² = 18#?
- How do you solve the system #Y=x+7#, #x^2+y^2=25#?
- How do you solve the system #x^2 - x - y = 2#, #4x - 3y = 0#?
- How do you solve the system #x^2 + y^2 = 13#, # y=x^2 - 1#?
- How do you solve the system #y=x+7#, # y=(x+3)^2-8#?
- How do you solve the system #y = 2x -3#, #x^2 + y^2 = 2#?
- How do you solve the system #x^2+y^2=17# and #y=x+3#?
- How do you solve the system #x^2+y^2+8x-20y+7=0# and #x^2+9y^2+8x+4y+7=0#?
- How do you solve the system #x^2+y^2-3x=8# and #2x^2-y^2=10#?
- How do you solve the system #x^2-2x+2y+2=0# and #-x^2+2x-y+3=0#?
- How do you solve the system #x^2+y^2=25# and #y=-3#?
- How do you solve the system #x^2+y^2=41# and #y=-x-1#?
- How do you solve the system #x^2+4x-4y-16=0# and #-2x+y+1=0#?
- How do you solve the system #3x^2-5y^2+2y=45# and #y=2x+10#?
- How do you solve the system #2x^2-4y=22# and #y=-2x+3#?
- How do you solve the system #6x^2-5x+8y^2+y=23# and #y=x-1#?
- How do you solve the system #x^2-y=5# and #-3x+y=-7#?
- How do you solve the system #x^2+y^2=18# and #x-y=0#?
- How do you solve the system #-3x^2+y^2=9# and #-2x+y=0#?
- How do you solve the system #9x^2+4y^2=36# and #-x+y=-4#?
- How do you solve the system #x+2y^2=-6# and #x+8y=0#?
- How do you solve the system #5x^2+3y^2=17# and #-x+y=-1#?
- How do you solve the system #4x^2-5y^2=16# and #3x+y=6#?
- How do you solve the system #2x^2+2y^2=15# and #x+2y=6#?
- How do you solve the system #x^2+y^2=20# and #y=x-4#?
- How do you solve the system #x^2+y^2=5# and #y=3x+5#?
- How do you solve the system #x^2=6y# and #y=-x#?
- How do you solve the system #x^2+y^2=9# and #x-3y=3#?
- How do you solve the system #x^2+y^2=7# and #y=x-7#?
- How do you solve the system #y^2-2x^2=6# and #y=-2x#?
- How do you solve the system #6x^2+3y^2=12# and #y=-x+2#?
- How do you solve the system #3x^2-y^2=-6# and #y=2x+1#?
- How do you solve the system #x^2+y^2=16# and #x^2-5y=5#?
- How do you solve the system #-3x^2+y^2-3x=0# and #x^2-y^2+27=0#?
- How do you solve the system #-x^2+y^2+10=0# and #-3y^2+x+1=0#?
- How do you solve the system #y^2=16x# and #4x-y=-24#?
- How do you solve the system #10y=x^2# and #x^2-6=-2y#?
- How do you solve the system #y^2+x=2# and #3x+y=8#?
- How do you solve the system #x^2-16y^2=16# and #x^2+y^2=9#?
- How do you solve the system #x^2+y^2=81# and #x+y=0#?
- How do you solve the system #16x^2-y^2+16y-128=0# and #y^2-48x-16y-32=0#?
- How do you solve the system #x^2-y^2-8x+8y-24=0# and #x^2+y^2-8x-8y+24=0#?
- How do you solve the system #x^2+4y^2-4x-8y+4=0# and #x^2+4y-4=0#?
- How do you solve the system #4x^2-56x+9y^2+160=0# and #4x^2+y^2-64=0#?
- How do you solve the system #x^2-4y^2-20x-64y-172=0# and #4x^2+y^2-80x+16y+400=0#?
- How do you solve the system #x^2-2x+4+y^2-10=0# and #2y^2-x+3=0#?
- How do you solve the system #4x^2-y^2-8x+6y-9=0# and #2x^2-3y^2+4x+18y-43=0#?
- How do you solve the system #x^2-y-4=0# and #x^2+3y^2-4y-10=0#?
- How do you solve the system #x^2+y^2+8x+7=0# and #x^2+y^2+4x+4y-5=0# and #x^2+y^2=1#?
- How do you solve the system #x^2+y^2-8=0# and #x^2+y^2-3x+y=0# and #2x^2+2y^2-5x-10=0#?
- How do you solve the system #x^2+3y^2=16# and #3x^2+y^2=16# and #y=-x#?
- How do you solve the system #x^2+y^2-4x-4y=26# and #x^2+y^2-4x=54# and #y=3x-8#?
- How do you find the exact solutions to the system #y=5# and #y^2=x^2+9#?
- How do you find the exact solutions to the system #y-x=1# and #x^2+y^2=25#?
- How do you find the exact solutions to the system #3x=8y^2# and #8y^2-2x^2=16#?
- How do you find the exact solutions to the system #5x^2+y^2=30# and #9x^2-y^2=-16#?
- How do you find the exact solutions to the system #y=x+2# and #y=x^2#?
- How do you find the exact solutions to the system #y=x+3# and #y=2x^2#?
- How do you find the exact solutions to the system #x^2+y^2=36# and #y=x+2#?
- How do you find the exact solutions to the system #y^2+x^2=9# and #y=7-x#?
- How do you find the exact solutions to the system #x^2/30+y^2/6=1# and #x=y#?
- How do you find the exact solutions to the system #x^2/36-y^2/4=1# and #x=y#?
- How do you find the exact solutions to the system #y+x^2=3# and #x^2+4y^2=36#?
- How do you find the exact solutions to the system #x^2+y^2=64# and #x^2+64y^2=64#?
- How do you find the exact solutions to the system #x^2+y^2=25# and #y^2+9x^2=25#?
- How do you find the exact solutions to the system #y^2=x^2-25# and #x^2-y^2=7#?
- How do you find the exact solutions to the system #y^2=x^2-7# and #x^2+y^2=25#?
- How do you find the exact solutions to the system #2x^2+8y^2+8x-48y+30=0# and #2x^2-8y^2=-48y+90#?
- How do you find the exact solutions to the system #3x^2-20y^2-12x+80y-96=0# and #3x^2+20y^2=80y+48#?
- How do you find the exact solutions to the system #y=2x+1# and #2x^2+y^2=11#?
- How do you find the exact solutions to the system #x^2+y^2=25# and #2x^2+3y^2=66#?
- How to write a system of equation that satisfies the conditions "two parabolas that intersect in two points?"
- How to write a system of equation that satisfies the conditions "a hyperbola and a circle that intersect in three points?"
- How to write a system of equation that satisfies the conditions "a circle and an ellipse that do not intersect?"
- How to write a system of equation that satisfies the conditions "a circle and an ellipse that intersect at four points?"
- How to write a system of equation that satisfies the conditions "a hyperbola and an ellipse that intersect in two points?"
- How to write a system of equation that satisfies the conditions "two circles that intersect in three points?"
- How do you solve the system #x^2+y^2=25, x+2y=10#?
- How do you find the intersection between #y=x-8# and #x^2+y^2= 34#?
- How do you solve #x^2-2x-35=y, x=y-5#?
- How do you determine the points of intersection for #x^2+y^2=1# and #y=x+1#?
- How do you solve #y=x^2+7x+12, y=2x+8# using substitution?
- How do you solve #y=x^2-x-20, y=3x+12# using substitution?
- How do you solve #y=3x^2-x-2, y=-2x+2# using substitution?
- How do you solve #y=x^2, y=2x# using substitution?
- How do you solve #y=-x^2-6x-3, y=6# using substitution?
- How do you solve #y=-x^2+4, y=1/2x+5# using substitution?
- How do you solve #y=x^2+5x+4, y=-x-8# using substitution?
- How do you solve #y=1/2x^2-4, y=3x+4# using substitution?
- How do you solve #y=x^2, y=-2x-1# using substitution?
- What is the total number of points of intersection of the graphs of the equations #2x^2-y^2=8, y=x+2#?
- How do you solve #x^2+y^2=25, 4x+3y=0#?
- How do you solve #y=-4x^2-x-3, y=x^2+2x-5#?
- How do you solve #x^2+y^2=153, y=-4x#?
- Given the functions #f(x)=x^2 -4# and #g(x)= 2x -3#, how do you find the positive interval of unity length, in which these two functions intersect?
- Algebraically, how do you determine the intersection point of the functions #y=(1/2)^(-14x+1)# and #y=8^(2x+1)#?
- What is the solution to the following system of equations #y=x^2+10x+11, y=x^2+x-7#?
- Where do the lines #3x + y = 9# and #4x + 2y = 6# intersect?