Precalculus Examples

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

Step 1

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

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

Step 2

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

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Step 2.1

Cancel the common factor of $9$ and $6$ .

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Step 2.1.1

Factor $3$ out of $9$ .

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

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $3$ out of $6$ .

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

Step 2.1.2.2

Cancel the common factor.

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

Step 2.1.2.3

Rewrite the expression.

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

Step 2.2

Subtract $\frac{3}{2}$ from $0$ .

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

Step 3

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