Algebra Examples

$[\begin{array}{c} - 1 & 4 x - 2 & - 5 \\ 0 & 3 z - 9 & y - 1 \end{array}] = [\begin{array}{c} - 1 & 2 & - 5 \\ 0 & 3 & 2 \end{array}]$

Step 1

Write as a linear system of equations.

$- 1 = - 1$

$4 x - 2 = 2$

$- 5 = - 5$

$0 = 0$

$3 z - 9 = 3$

$y - 1 = 2$

Step 2

Since $0 = 0$ is always true, the matrix equation has infinite solutions.

Infinite solutions satisfying the system.