Examples

y = 3 x - 21

$y = 3 x - 21$ ,

(7, 0)

$(7, 0)$

Step 1

Insert the values of

x = 7

$x = 7$ and

y = 0

$y = 0$ into the equation to find if the ordered pair is a solution.

0 = 3 (7) - 21

$0 = 3 (7) - 21$

Step 2

Simplify

3 (7) - 21

$3 (7) - 21$ .

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Step 2.1

Multiply

3

$3$ by

7

$7$ .

0 = 21 - 21

$0 = 21 - 21$

Step 2.2

Subtract

21

$21$ from

21

$21$ .

0 = 0

$0 = 0$

0 = 0

$0 = 0$

Step 3

Since

0 = 0

$0 = 0$ , the equation will always be true.

Always true

Step 4

Since the equation is always true when the values are used, the ordered pair is a solution.

The ordered pair is a solution to the equation.

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