# Solving a System of Equations Using a Matrix

### Topic Page

Solving a System of Equations Using a Matrix### Questions

- How do I use matrices to solve the system #2x+3y=4# and #5x+8y=11#?
- How do I solve a system of equations using an augmented matrix?
- How do I solve a system of 3 equations with a matrix?
- How do I solve a system of equations using inverse matrices?
- How do I solve a system of 2 equations using a matrix?
- How do I use matrices to find the solution of the system of equations #3x+4y=10# and #x-y=1#?
- How do I use matrices to find the solution of the system of equations #c+3d=8# and #c=4d-6#?
- How do I use matrices to find the solution of the system of equations #y=1/3x+7/3# and #y=−5/4x+11/4#?
- How do I use matrices to find the solution of the system of equations #y=−2x+4# and #y=−2x−3#?
- How do I use matrices to find the solution of the system of equations #y=−2x−4# and #y+4=−2x#?
- How do you solve #3x-5y+2z=-13#, #x+4y-2z=8# and #-3x+5y-2z=3#?
- How do you solve #2x +y +z = 9#, #x +2y -z = 6#, #3x -y +z = 8#?
- How do you solve for x, y, z in #x+3y-z=4#, #-x-2y+3z=4#, #2x-y-2z=-6#?
- How to solve for X. first row (8 ,-6) second row (-6,5) +4X= first row (-5,9) second row (4,4) ?
- How do you solve #9x-5y=-44# and #4x-3y=-18# using matrices?
- How do you solve #((-3, -2), (1, 1))X=((-8, -1),(6,0))#?
- How do you solve #((-5,0),(-13,5))x=((3,-1),(-4,0))#?
- How do you solve #2x+9y=-2#, #x+2y+3z=0#, and #-y+z=1# using matrices?
- How do you solve #4r + 5s - 3t = 9#, #6r - 3s + 1t = 67#, #2r + 0s + 1t = 22#?
- How do you solve #x+3y=7#, #-x+4=7#?
- How do you solve #-2x - 4y + 2z = -8#, #-x - 5y +12z = 5#, #3x + 5y - z = 10#?
- How do you solve #2x+A=B# given #A=((2, -8), (9, 5), (-2, 3))# and #B=((-6,2), (1, -5), (8, 5))#?
- How do you solve #Ax=B# given #A=((2, 3))# and #B=(4)#?
- How do you solve #Ax=B# given #A=((2, 3))# and #B=(4)#?
- How do you solve #Ax=B# given #A=((1, 5))# and #B=(2)#?
- How do you solve #x - 3y = -5# and #-x+ y = 1# using matrices?
- How do you solve #2x+2y = 2# and #4x+3y=7# using matrices?
- How do you solve #5x-3y=-5# and #-3x+3y=9# using matrices?
- How do you solve #Ax=B# given #A^-1=((2, -1), (3, -2))# and #B=((2), (3))#?
- How do you solve #((8, 7), (1, 1))x=((3, -6), (-2, 9))#?
- How do you solve #4x + 5y = -7 # and #3x - 6y = 24# using matrices?
- How do you solve #4x - 2x = -6# and #3x - 6y = -18# using matrices?
- How do you solve #-x + y+z = -4# and #-x + 5y-19z= -28# and #6x-2y-26z = 0# using matrices?
- How do you solve #3x+3y=15# and #2x+3y=-5# using matrices?
- How do you solve #x+3y=11# and #x+4y=14# using matrices?
- How do you solve #3x-y=3# and #-2x+y=2# using matrices?
- How do you solve #3x+y=9# and #2x+y=4# using matrices?
- How do you solve #2x+3y=-1# and #4x-5y=7# using matrices?
- How do you solve #Ax=B# given #A=((2, 0, 0), (-1, 2, 0), (-2, 4, 1))# and #B=((4), (10), (11))#?
- How do you solve #3x+A=B# given #A=((-3, -7), (2, -9), (5, 0))# and #B=((-5, -1), (0, 0), (3, -4))#?
- How do you solve #5x+2y-z=-7#, #x-2y+2z=0#, and #3y+ z=17#?
- How do you solve #x-2y=2# and #3x-5y=9# using matrices?
- How do you solve #-x + y + z = -1# and #-x + 5y - 15z = -13# and #3x - 2y - 7z = 0# using matrices?
- How do you solve #x-y+2z = -5#, #-x +3z = 0#, and #2x+ y = 1# using matrices?
- How do you solve #4p + 2q - 5r + 9s = -12#, #2p + 6r - 7s = 0#, #11q – 7r = -18#, #p + q - r + s = 1# using matrices?
- How do you solve #3x - y = 8# and #-2x + y = 4# using matrices?
- How do you solve #5x - 5y + 10z = -11#, #10x + 5y - 5z = 1# and #15x - 15y -10z = -1# using matrices?
- How do you solve #5x-y-7z= -13#, #-3x +8z=22#, #9y+z=77# using matrices?
- How do you solve #x + y = 5 # and #3x – y = –1# using matrices?
- How do you solve #x-y=6# and #2x + 3y =2# using matrices?
- How do you solve #x - y + 4z = 6#, #2x + z = 1# and #x + 5y + z = -9# using matrices?
- How do you solve #x+3z=-2#, #2x+2y+z=4#, and #3x+y-2z=5# using matrices?
- How do you solve #9a - 4b = -5# and #6a - 2b = -3# using matrices?
- How do you solve #5x + 3y = -4.5# and #2x + 1.2y = -1.8# using matrices?
- How do you solve #x - 2y + z = - 2#, #2x - 3y + 2z = 2#, and #4x - 8y + 5z = - 5# using matrices?
- How do you solve #((1, -6, 0), (0, 1, -7), (3, 0, 2))X=((1), (4), (11))#?
- How do you solve #x+4y-z =3#, #2x+3y-2z =1# and #-x+2y+3z =7# using matrices?
- How do you solve #5x + 3y = -8# and #4x + 6y = 8# using matrices?
- How do you solve #6x+3y=54# & #5x+2y=43# using matrices?
- How do you solve #5x+3y = -5# and #7x+5y = -11# using matrices?
- How do you solve # 6x+5y = 8# and #3x-y = 7# using matrices?
- How do you solve #- x+y=6# and #-2x+y=7# using matrices?
- How do you solve #3x + 4y = 24 # and #6x - 1y = 21# using matrices?
- How do you solve #x+y-z=-2#, #2x-y+z=5#, and #-x+2y+2z=1# using matrices?
- How do you solve #((4, 8), (2, 5))((x), (y))=((0),(6))#?
- How do you solve #-3x + y = 1# and #6x - 3y = -4# using matrices?
- How do you solve #-3x + 5y + z = 10#, #2x + 3y - z = 7#, and #-4x + 2y +3z = -1# using matrices?
- How do you solve #2x - 4y = 7# and #-3x + y = 12# using matrices?
- How do you solve #x + 9y = 20# and #2x - 4y = 15# using matrices?
- How do you solve #2x - 5y = 12# and #x - 3y = -3# using matrices?
- How do you solve #2x + 6y = 2# and #x + 5y = 3# using matrices?
- How do you solve #6x + 2y = -16# and #5x + 6y = 4# using matrices?
- How do you solve #x+2y+3w+4z = 10#, #2x+y+w-z = 1#, #3x+y+4w+3z=22#, and #-2x+6y+4w+20z = 18# using matrices?
- How do you solve #w+4x+3y-11z=42#, #6w+9x+8y-9z=31#, #-5w+6x+3y+13z=2#, and #8w+3x-7y+6z=31# using matrices?
- How do you solve #3x + 2y + 2z =3#, #x + 2y - z =5# and #2x - 4y + z=0# using matrices?
- How do you solve #-5x+6y-z= -26# and #x-4y-4z= -27# and #6x+y+z = 38# using matrices?
- How do you solve #x+y+z=-9#, #x-y+5z=-19#, #5x+y+z=-29# using matrices?
- How do you solve #a+3b+2c=3# , #2a-b-3c= -8#, #5a+2b+c=9# using matrices?
- How do you solve #5x + 3y = 46# and #2x + 5y = 7# using matrices?
- How do you solve #x + 2y + 2z = 0# and #3x - 2y + 3z = -4# and #2x - y + z = -1# using matrices?
- How do you solve #24x + 24y + 16z = 106#, #8x + 24y + 40z = 135# and #24x + 16y - 8z = 42# using matrices?
- How do you solve #((2, 2, 0), (4, -3, 2), (0, -3, 5))x=((-10), (2), (-9))#?
- How do you solve #a-2b+20c=1#, #3a+b-4c=2# and #2a+b-8c=3# using matrices?
- How do you solve #x + y = 1# and #2x + 5y = 4# using matrices?
- How do you solve #2x-3y+z=-2#, #x-6y+3z=-2# and #3x+3y-2z=2# using matrices?
- How do you solve #4x-y=9# and #2x+3y=-27# using matrices?
- How do you solve #((2, 0, 0), (-1, 2, 0), (-2, 4, 1))x=((4), (10), (11))#?
- How do you solve #x - 2y = 5# and #2x - 3y = 10# using matrices?
- How do you solve # x+2y=9# and #x+y=1# using matrices?
- How do you solve #x-y+z=3# and #2y-z=1# and #-x+2y= -1# using matrices?
- How do you solve #3x + 6z = 0#, #-2x + y = 5#, #y + 2z = 3#?
- How do you solve #x+2y+z=34#, #x+2y+2z=38#, #2x+y+3z=54#?
- How do you solve #x + y + z = 3#, #-x + 3y + 2z = -8#, and #5y + z = 2#?
- How do you solve #2x-y=-10# and # 2x-4y=-4#?
- How do you solve #4x+y=26# and #-20x-5y=30# using matrices?
- How do you solve #1/2x+y=5# and #-x-2y=4# using matrices?
- How do you solve #x-6y=31# and #6x+9y=-84# using matrices?
- How do you solve #4x-y=-3# and #5x-3y=-23# using matrices?
- How do you solve #x+y-z=6#, #2x-y+z=-9#, and #x-2y+3z=1# using matrices?
- How do you solve #3x + 2y + z = 8#, #2x -3y + 2z = -16#, and #x + 4y -z = 20# using matrices?
- How do you solve #3u + v + w = 9#, #u + v - w = 5# and #u + 2v + w = 9# using matrices?
- How do you solve #-x + 2y - 3z = 0 #, #2x + z = 0 #, and #3x - 4y + 4z = 2# using matrices?
- How do you solve #x + 2y = 4# and #2x - y = 3# using matrices?
- How do you solve #2x + 7y = - 8# and #- 2x + 3y = - 12# using matrices?
- How do you solve #3a + 6b + c + 4d = 2#, #a - 2b + 3c - d = -3#, #2a - 4c + d= -15# and #a + 8b + 2c + d = 6# using matrices?
- How do you solve #x + 4y = 8# and #2x + y = 9# using matrices?
- How do you solve #3x+2y+6z=2# and #x+y+2z=1# and #2x+2y+5z=3# using matrices?
- How do you solve #8x-2y+5z=10#, #-2x+10y-3z=0#, and #-5x-3y+10z=0# using matrices?
- How do you solve #2x + y = 5# and #3x + y = 6# using matrices?
- How do you solve #x+4y-z=7#, #x+y+z=2# and #-2x-2y+2z=-8# using matrices?
- How do you solve #3y-z=-1#, #x+5y-z=-4#, # -3x+6y+2z=11# using matrices?
- How do you solve #x + 3y + z = 3#; #x + 5y + 5z = 1#; #2x + 6y + 3z = 8# using matrices?
- How do you solve #x+3y=5# and #x+4y=6# using matrices?
- How do you solve #p-3q=-1# and #5p+16q=5# using matrices?
- How do you solve #4x + 5y + z = 6# and #2x – y + 2z = 11# and #x + 2y + 2z = 6# using matrices?
- How do you solve #((5, 1, 4), (2, -3, -4), (7, 2, -6))X=((5), (2), (5))#?
- How do you find #(A-2I)^2X=0# given #A=((3, 1, -2), (-1, 0, 5), (-1, -1, 4))#?
- How do you multiply three matrices given #((-1, 4, -2, 0), (3, 3, 1, -4), (0, 5, 2, -1))# and #((1, 2, 5), (-3, 4, 0), (2, 3, -4), (-1, 2, 2))# and #((-2), (4), (3))#?
- How do you solve #x + 2y + z = 6#, #2x - y - z = 0#, and #3x + 2y +z = 10# using matrices?
- Question #c419f
- Find the matrix #A# for the linear transformation #T# relative to the bases #B = {1,x,x^2}# and #B' = {1,x,x^2,x^3}# such that #T(vecx) = Avecx#?
- How do you solve #[(-x,+2y,-4z,-5u,=,27),(-2x,-3y,+3z,-3u,=,9),(5x,-4y,+2z,-3u,=,5), (-2x,+0y,+4z,-5u,=,29)]#?
- How do you solve the system #-x-5y-5z=2#, #4x-5y+4z=19#, and #x+5y-z=-20#?
- How do you solve the system #-4x-5y-z=18#, #-2x-5y-2z=12#, and #-2x+5y+2z=4#?
- How do you solve the system #4x+4y+z=24#, #2x-4y+z=0#, and #5x-4y-5z=12#?
- How do you solve the system #4r-4x+4t=-4#, #4r+x-2t=5#, and #-3r-3x-4t=-16#?
- How do you solve the system #x-6y+4z=-12#, #x+y-4z=12#, and #2x+2y+5z=-15#?
- How do you solve the system #x-y-2z=-6#, #3x+2y=-25#, and #-4x+y-z=12#?
- How do you solve the system #5a+5b+5c=-20#, #4a+3b+3c=-6#, and #-4a+3b+3c=9#?
- How do you solve the system #-6x-2y+2z=-8#, #3x-2y-4z=8#, and #6x-2y-6z=-18#?
- How do you solve the system #5x-4y+2z=21#, #-x-5y+6z=-24#, and #-x-4y+5z=-21#?
- How do you solve the system #-3a-b-3c=-8#, #-5a+3b+6c=-4#, and #-6a-4b+c=-20#?
- How do you solve the system #-5x+3y+6z=4#, #-3x+y+5z=-5#, and #-4x+2y+z=13#?
- How do you solve the system #3a-3b+4c=-23#, #a+2b-3c=25#, and #4a-b+c=25#?
- How do you solve the system #-6x-2y-z=-17#, #5x+y-6z=19#, and #-4x-6y-6z=-20#?
- How do you solve the system #x-y+z=3#, #2x+y+z=8#, and #3x+y-z=1#?
- How do you solve the system #x-y-z=2#, #2x+y+z=8#, and #x+y+z=6#?
- How do you solve the system #x+y+z=1#, #2x-y+2z=-1#, and #-x-3y+z=1#?
- How do you solve the system #x-y-z=6#, #-x+3y+2z=-11#, and #3x+2y+z=1#?
- How do you solve the system #x+y+z=1#, #-2x+2y+3z=20#, and #2x-2y-z=-16#?
- How do you solve the system #x+y+z=-3#, #3x+y-z=13#, and #3x+y-2z=18#?
- How do you solve the system #2x+y-z=2#, #-x-3y+z=-1#, and #-4x+3y+z=-4#?
- How do you solve the system #x+4y-6z=8#, #2x-y+3z=-10#, and #3x-2y+3z=-18#?
- How do you solve the system #3x-y+z=5#, #x+3y+3z=-6#, and #x+4y-2z=12#?
- How do you solve the system #2x-y+3z=2#, #x-2y+3z=1#, and #4x-y+5z=5#?
- How do you solve the system #x+2y+z=2#, #2x+3y+3z=-3#, and #2x+3y+2z=2#?
- How do you solve the system #x-4y-z=-3#, #x+2y+z=5#, and #3x-7y-2z=-6#?
- How do you solve the system #x+3y-2z=8#, #3x+2y-3z=15#, and #4x+2y+3z=-1#?
- How do you solve the system #x+y-z=2#, #3x+5y-2z=-5#, and #5x+4y-7z=-7#?
- How do you solve the system #x+y-z=2#, #x-2z=1#, and #2x-3y-z=8#?
- How do you solve the system #x+y+z=6#, #x-2y=-7#, and #4x+3y+z=7#?
- How do you solve the system #x-4y+4z=-1#, #y-3z=5#, and #3x-4y+6z=1#?
- How do you solve the system #x+2y-4z=13#, #3x+4y-2z=19#, and #3x+2z=3#?
- How do you solve the system #x+2y-z=6#, #-3x-2y+5z=-12#, and #x-2z=3#?
- Question #03617
- How do you solve the system #x-2y+2z=-2, -x+4y-2z=3, 2x-4y+z=-7#?
- How do you solve #[(2x, 3, 3z)]=[(5,3y,9)]#?
- How do you solve #[(4x),(5)]=[(15+x), (2y-1)]#?
- How do you solve #[(4x-3, 3y), (7,13)]=[(9,-15), (7,2z+1)]#?
- How do you solve #[(x+3y),(3x+y)]=[(-13),(1)]#?
- How do you solve #[(2x+y),(x-3y)]=[(5), (13)]#?
- How do you solve #[(2x), (2x+3y)]=[(y), (12)]#?
- How do you solve #[(2x+y),(x-3y)]=[(5),(13)]#?
- How do you solve #[(x^2+1, 5-y), (x+y,y-4)]=[(5,x), (5,3)]#?
- How do you solve #[(3x-5, x+y), (12, 9z)]=[(10,8),(12,3x+y)]#?
- How do you solve the system #3a+2b=27, 6a-7b+c=5, -2a+10b+5c=-29# using matrices?
- How do you solve the system #2a+b=3, 5a=15, a+b+c=-1# using matrices?
- How do you solve the system #r+s+t=15, r+t=12, s+t=10# using matrices?
- How do you solve the system #2s+7t=39,5s-t=5# using matrices?
- How do you solve the system #3p+6q=-3,2p-3q=-9# using matrices?
- How do you solve the system #a+5b=1, 7a-2b=44# using matrices?
- How do you solve the system #2x+y+z=0, 3x-2y-3z=-21, 4x+5y+3z=-2#?
- How do you solve the vector x given #6x-((2),(3))=4x+((-4),(-1))#?
- How do you find the values of x and y given #[(2y), (x)]=[(x-3), (y+5)]#?
- How do you find the values of x and y given #[(18, 24)]=[(4x-y, 12y)]#?
- How do you find the values of x and y given #[(16, 0, 2x)]=[(4x, y, 8-y)]#?
- How do you find the values of x and y given #[(y), (x)]=[(2x-1), (y-5)]#?
- How do you find the values of x and y given #[(9, 13)]=[(x+2y, 4x+1)]#?
- How do you find the values of x and y given #[(x, y)]=[(2y, 2x-6)]#?
- How do you find the values of x and y given #[(4x), (5)]=[(15+x), (2y)]#?
- How do you find the values of x and y given #[(27),(8)]=[(3y), (5x-3y)]#?
- How do you find the values of x and y given #[(4x-3y),(x+y)]=[(11), (1)]#?
- How do you find the values of x and y given #[(2x, y, -y)]=[(-10, 3x, 15)]#?
- How do you find the values of x and y given #[(-12), (2), (12y)]=[(6x), (y+1), (10-x)]#?
- How do you find the values of x and y given #[(x+y, 3), (y, 6)]=[(0, 2y-x), (y^2, 4-2x)]#?
- How do you find the values of x and y given #[(x^2+1, 5-y), (x+y, y-4)]=[(2, x), (5, 2)]#?
- How do you find the values of x, y and z given #3[(x, y-1), (4, 3z)]=[(15, 6), (6z, 3x+y)]#?
- How do you find the values of w, x, y, and z given #-2[(w+5, x-z), (3y, 8)]=[(-16, -4), (6, 2x+8z)]#?
- How do you solve #6x-3y=63, 5x-9y=85# using matrix equation?
- How do you solve the system #4x-y=1, x+2y=7# using matrix equation?
- How do you solve the system #9x-6y=12, 4x+6y=-12# using matrix equation?
- How do you solve the system #x+5y=26, 3x-2y=-41# using matrix equation?
- How do you solve the system #4x+8y=7, 3x-3y=0# using matrix equation?
- How do you solve the system #3x-5y=-24, 5x+4y=-3# using matrix equation?
- How do you solve the system #9x+3y=1, 5x+y=1# using matrix equation?
- Question #063c7
- How do you solve #2x+2y-4z=8, 2x+y-z=6, -x-y+2z=2#?
- Solve #{(x^y=y^x),(x^2=y^3):}# ?
- How do you set up and solve the following system using augmented matrices #x-2y=7, 3x+4y=1#?
- How do you set up and solve the following system using augmented matrices #3x-2y=8, 6x-4y=1#?
- How do you set up and solve the following system using augmented matrices #2x+3y+4z=20, 3x+4y+2z=17, 3x+2y+3z=16#?
- How do you solve #-3x-y=0, y-4z=15, x-2y+z=-10#?
- If #A=[(-1,2), (3,1)]#, how do you find F(A) where #f(x)=x^2-2x+3#?
- How do you solve #[(1,-2,3), (2,-4,6), (3,-6,9)][(x), (y), (z)]=[(0),(0),(0)]#?
- How do you solve #x+y+z=73, -2x+2y=8, x-z=-9#?
- Question #9f8ce
- How do you write the augmented matrix for the system of linear equations #4x-3y=-5, -x+3y=12#?
- How do you write the augmented matrix for the system of linear equations #7x+4y=22, 5x-9y=15#?
- How do you write the augmented matrix for the system of linear equations #7x-5y+z=13, 19x=8z=10#?
- Suppose #y# varies jointly as #x# and #z#. How do you find #y# when #x=6# and #z=8#, if #y=6# when #x# is 4 and #z# is 2?
- Question #b2bfd
- Given matrix #M = ((1, 1, 2), (3, 1, 1), (2, 3, 1))# with characteristic equation #x^3-3x^2+ax+b = 0#, what are the values of #a# and #b# ?
- Question #18dba
- Solve the system of equations # 2x + 3y = 5 # and # x + y = 1 # using matrices?
- Solve the system of equations using matrices? # 16x + 5y = 211 # and # 16x + y = 183 #