Solve for u x y and z in the given matrix equation 1 3 x 4 1

Solve for u, x, y, and z in the given matrix equation. [1 3 x 4 13 - 1] - 3 [y - 1 1 4 4 5 2z + 1] = 2 [-7 0 3 -u - 1 7]

Solution

1.

1-3(y-1) = 2(-7)

1-3y+3 = -14

-3y = -18

y = 6

2.

4 -3(4) = -2u

-8 = -2u

v=4

3.

x-3(4)=2(3)

x-12=6

x=18

4.

-1-3(2z+1) = 2(7)

-1-6z-3 = 14

-6z = 18

z=-3