Precalculus Examples

$x - y = - 6$ , $4 x + y = - 9$ , $(- 3, 3)$

Step 1

Simplify $(- 3) - (3)$ .

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Step 1.1

Multiply $- 1$ by $3$ .

$- 3 - 3 = - 6$

$4 (- 3) + 3 = - 9$

Step 1.2

Subtract $3$ from $- 3$ .

$- 6 = - 6$

$4 (- 3) + 3 = - 9$

$- 6 = - 6$

$4 (- 3) + 3 = - 9$

Step 2

Since $- 6 = - 6$ , the equation will always be true.

Always true

$4 (- 3) + 3 = - 9$

Step 3

Simplify $4 (- 3) + 3$ .

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Step 3.1

Multiply $4$ by $- 3$ .

$- 12 + 3 = - 9$

Always true

Step 3.2

Add $- 12$ and $3$ .

$- 9 = - 9$

Always true

$- 9 = - 9$

Always true

Step 4

Since $- 9 = - 9$ , the equation will always be true.

Always true

Step 5

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

$(- 3, 3)$ is a solution