Algebra Examples

$[\begin{array}{c} x - 7 & 3 & - 8 y \\ 4 & - 8 x & - 7 \\ - 9 & y - 3 & - 3 \end{array}] = [\begin{array}{c} 7 x - 19 & 3 & 24 \\ 4 & - 16 & - 7 \\ - 9 & - 6 & - 3 \end{array}]$

Step 1

Write as a linear system of equations.

$x - 7 = 7 x - 19$

$3 = 3$

$- 8 y = 24$

$4 = 4$

$- 8 x = - 16$

$- 7 = - 7$

$- 9 = - 9$

$y - 3 = - 6$

$- 3 = - 3$

Step 2

Since $- 3 = - 3$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying the system.