Precalculus Examples

$y = 3 x - 21$ , $(- 7, 0)$

Step 1

Insert the values of $x = - 7$ and $y = 0$ into the equation to find if the ordered pair is a solution.

$0 = 3 (- 7) - 21$

Step 2

Simplify $3 (- 7) - 21$ .

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Step 2.1

Multiply $3$ by $- 7$ .

$0 = - 21 - 21$

Step 2.2

Subtract $21$ from $- 21$ .

$0 = - 42$

Step 3

Since $0 \neq - 42$ , there are no solutions.

No solution

Step 4

Since the equation is not true when the values are used, the ordered pair is not a solution.

The ordered pair is not a solution to the equation.

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