Precalculus Examples

⎡ ⎢ ⎣ \begin{matrix} 290 \end{matrix} ⎤ ⎥ ⎦ = ⎡ ⎢ ⎣ \begin{matrix} x y 0 \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} 2 \\ 9 \\ 0 \end{array}] = [\begin{array}{c} x \\ y \\ 0 \end{array}]$

Step 1

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

2 = x

$2 = x$

9 = y

$9 = y$

0 = 0

$0 = 0$

Step 2

Rewrite the equation as

x = 2

$x = 2$ .

x = 2

$x = 2$

9 = y

$9 = y$

Step 3

Rewrite the equation as

y = 9

$y = 9$ .

y = 9

$y = 9$

x = 2

$x = 2$

Step 4

List all of the solutions.

y = 9, x = 2

$y = 9, x = 2$

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