Find the Variables [[x,4y],[z,12]]=[[10,8],[3,12]]

$[\begin{array}{c} x & 4 y \\ z & 12 \end{array}] = [\begin{array}{c} 10 & 8 \\ 3 & 12 \end{array}]$

Find the function rule.

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Since all of the points have the same x-value, the points form a vertical line.

The function is linear

Since all $y = y$ , the function is linear and follows the form $x = 12$ .

$x = 12$

Find $4 y$ .

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Use the function rule equation to find $4 y$ .

$4 y = 12$

Divide each term by $4$ and simplify.

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Divide each term in $4 y = 12$ by $4$ .

$\frac{4 y}{4} = \frac{12}{4}$

Cancel the common factor of $4$ .

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Cancel the common factor.

$\frac{4 y}{4} = \frac{12}{4}$

Divide $y$ by $1$ .

$y = \frac{12}{4}$

Divide $12$ by $4$ .

$y = 3$

Use the function rule equation to find $z$ .

$z = 12$

List all of the solutions.

$x = 12 y = 3 z = 12$

Find the Variables [[x,4y],[z,12]]=[[10,8],[3,12]]

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