How do you solve #2x+A=B# given #A=((2, -8), (9, 5), (-2, 3))# and #B=((-6,2), (1, -5), (8, 5))#? Precalculus Matrix Row Operations Solving a System of Equations Using a Matrix 1 Answer Steve M Nov 3, 2016 # x = ((-4,5), (-4, -5), (6, 1)) # Explanation: # 2x+A=B => 2x + ((2, -8), (9, 5), (-2, 3)) = ((-6,2), (1, -5), (8, 5)) # # :. 2x = ((-6,2), (1, -5), (8, 5)) - ((2, -8), (9, 5), (-2, 3)) # # :. 2x = ((-6-2,2-(-8)), (1-9, -5-5), (8-(-2), 5-3)) # # :. 2x = ((-8,10), (-8, -10), (12, 2)) # # :. x = 1/2((-8,10), (-8, -10), (12, 2)) # # :. x = ((-4,5), (-4, -5), (6, 1)) # Answer link Related 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#? See all questions in Solving a System of Equations Using a Matrix Impact of this question 3410 views around the world You can reuse this answer Creative Commons License