Find the Variables [[4,3],[-1,2]]=[[4,y],[x,2]]

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

Step 1

The matrix equation can be written as a set of equations.

$4 = 4$

$3 = y$

$- 1 = x$

$2 = 2$

Step 2

Rewrite the equation as $y = 3$ .

$y = 3$

$- 1 = x$

Step 3

Rewrite the equation as $x = - 1$ .

$x = - 1$

$y = 3$

Step 4

List all of the solutions.

$x = - 1, y = 3$