Solve the Matrix Equation [[-1,4x-2,-5],[0,3z-9,y-1]]=[[-1,2,-5],[0,3,2]]

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

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.