Algebra Examples

$[\begin{array}{c} 6 & x & 16 \\ 18 & 7 & 10 \\ 9 & 14 & 8 \end{array}] = [\begin{array}{c} 6 & 12 & 16 \\ y & 7 & 10 \\ 9 & z & 8 \end{array}]$

Step 1

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

$6 = 6$

$x = 12$

$16 = 16$

$18 = y$

$7 = 7$

$10 = 10$

$9 = 9$

$14 = z$

$8 = 8$

Step 2

Rewrite the equation as $y = 18$ .

$y = 18$

$x = 12$

$14 = z$

Step 3

Rewrite the equation as $z = 14$ .

$z = 14$

$y = 18$

$x = 12$

Step 4

List all of the solutions.

$z = 14, y = 18, x = 12$