Precalculus Examples

$y = 5 x + 2$ , $2 y = 2 x + 12$ , $(1, 7)$

Step 1

Simplify $5 (1) + 2$ .

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Multiply $5$ by $1$ .

$7 = 5 + 2$

$2 (7) = 2 (1) + 12$

Add $5$ and $2$ .

$7 = 7$

$2 (7) = 2 (1) + 12$

$7 = 7$

$2 (7) = 2 (1) + 12$

Step 2

Since $7 = 7$ , the equation will always be true.

Always true

$2 (7) = 2 (1) + 12$

Step 3

Multiply $2$ by $7$ .

$14 = 2 (1) + 12$

Always true

Step 4

Simplify $2 (1) + 12$ .

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Multiply $2$ by $1$ .

$14 = 2 + 12$

Always true

Add $2$ and $12$ .

$14 = 14$

Always true

$14 = 14$

Always true

Step 5

Since $14 = 14$ , the equation will always be true.

Always true

Step 6

The ordered pair is a solution to the system of equations.

$(1, 7)$ is a solution

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