Algebra Examples

$[\begin{array}{c} x & 4 y \\ z & 12 \end{array}] = [\begin{array}{c} 18 & 12 \\ 8 & 12 \end{array}]$

Step 1

Write as a linear system of equations.

$x = 18$

$4 y = 12$

$z = 8$

$12 = 12$

Step 2

Since $12 = 12$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying the system.