Examples

y = x - \frac{9}{6}

$y = x - \frac{9}{6}$ ,

(0, 0)

$(0, 0)$

Step 1

Insert the values of

x = 0

$x = 0$ and

y = 0

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

0 = (0) - \frac{9}{6}

$0 = (0) - \frac{9}{6}$

Step 2

Simplify

(0) - \frac{9}{6}

$(0) - \frac{9}{6}$ .

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Step 2.1

Cancel the common factor of

9

$9$ and

6

$6$ .

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Step 2.1.1

Factor

3

$3$ out of

9

$9$ .

0 = 0 - \frac{3 (3)}{6}

$0 = 0 - \frac{3 (3)}{6}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor

3

$3$ out of

6

$6$ .

0 = 0 - \frac{3 \cdot 3}{3 \cdot 2}

$0 = 0 - \frac{3 \cdot 3}{3 \cdot 2}$

Step 2.1.2.2

Cancel the common factor.

0 = 0 - \frac{3 \cdot 3}{3 \cdot 2}

$0 = 0 - \frac{3 \cdot 3}{3 \cdot 2}$

Step 2.1.2.3

Rewrite the expression.

0 = 0 - \frac{3}{2}

$0 = 0 - \frac{3}{2}$

0 = 0 - \frac{3}{2}

$0 = 0 - \frac{3}{2}$

0 = 0 - \frac{3}{2}

$0 = 0 - \frac{3}{2}$

Step 2.2

Subtract

\frac{3}{2}

$\frac{3}{2}$ from

0

$0$ .

0 = - \frac{3}{2}

$0 = - \frac{3}{2}$

0 = - \frac{3}{2}

$0 = - \frac{3}{2}$

Step 3

Since

0 \neq - \frac{3}{2}

$0 \neq - \frac{3}{2}$ , 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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