Question

Solve for "x" and "y" given the following matrix equation:
(2x, 0.5y, -2, 1) * (3, -2, 0, 1) = (-24, 19, -6, 5)

(the matrices are going from left to right, they're all 2x2's.)

Answer 1

Multiply the matrices on the left-hand side and equate cell by cell with the right to get:
the equations
6x=-24
y/2-4x=19
Solve for x and y.
The two bottom cells turn out to be -6=-6 and 5=5.

Answer 2

6 x +0 y = -24 so x = -4

-4 x + .5 y = 19 so y = 6

-6 + 0 = -6 true

(-2)(-2) + (1)(1) = 5 true