Find Three Ordered Pair Solutions y=-5/4x+5

$y = - \frac{5}{4} x + 5$

Step 1

Simplify each term.

Combine $x$ and $\frac{5}{4}$ .

$y = - \frac{x \cdot 5}{4} + 5$

Move $5$ to the left of $x$ .

$y = - \frac{5 x}{4} + 5$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - \frac{5 (0)}{4} + 5$

Simplify $- \frac{5 (0)}{4} + 5$ .

Simplify each term.

Cancel the common factor of $0$ and $4$ .

Factor $4$ out of $5 (0)$ .

$y = - \frac{4 (5 \cdot (0))}{4} + 5$

Cancel the common factors.

Factor $4$ out of $4$ .

$y = - \frac{4 (5 \cdot (0))}{4 (1)} + 5$

Cancel the common factor.

$y = - \frac{4 (5 \cdot (0))}{4 \cdot 1} + 5$

Rewrite the expression.

$y = - \frac{5 \cdot (0)}{1} + 5$

Divide $5 \cdot (0)$ by $1$ .

$y = - (5 \cdot (0)) + 5$

Multiply $- (5 \cdot (0))$ .

Multiply $5$ by $0$ .

$y = - 0 + 5$

Multiply $- 1$ by $0$ .

$y = 0 + 5$

Add $0$ and $5$ .

$y = 5$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 5)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - \frac{5 (1)}{4} + 5$

Simplify $- \frac{5 (1)}{4} + 5$ .

Multiply $5$ by $1$ .

$y = - \frac{5}{4} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$y = - \frac{5}{4} + 5 \cdot \frac{4}{4}$

Combine $5$ and $\frac{4}{4}$ .

$y = - \frac{5}{4} + \frac{5 \cdot 4}{4}$

Combine the numerators over the common denominator.

$y = \frac{- 5 + 5 \cdot 4}{4}$

Simplify the numerator.

Multiply $5$ by $4$ .

$y = \frac{- 5 + 20}{4}$

Add $- 5$ and $20$ .

$y = \frac{15}{4}$

Use the $x$ and $y$ values to form the ordered pair.

$(1, \frac{15}{4})$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = - \frac{5 (2)}{4} + 5$

Simplify $- \frac{5 (2)}{4} + 5$ .

Cancel the common factor of $2$ and $4$ .

Factor $2$ out of $5 (2)$ .

$y = - \frac{2 \cdot 5}{4} + 5$

Cancel the common factors.

Factor $2$ out of $4$ .

$y = - \frac{2 \cdot 5}{2 \cdot 2} + 5$

Cancel the common factor.

$y = - \frac{2 \cdot 5}{2 \cdot 2} + 5$

Rewrite the expression.

$y = - \frac{5}{2} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y = - \frac{5}{2} + 5 \cdot \frac{2}{2}$

Combine $5$ and $\frac{2}{2}$ .

$y = - \frac{5}{2} + \frac{5 \cdot 2}{2}$

Combine the numerators over the common denominator.

$y = \frac{- 5 + 5 \cdot 2}{2}$

Simplify the numerator.

Multiply $5$ by $2$ .

$y = \frac{- 5 + 10}{2}$

Add $- 5$ and $10$ .

$y = \frac{5}{2}$

Use the $x$ and $y$ values to form the ordered pair.

$(2, \frac{5}{2})$

Step 6

These are three possible solutions to the equation.

$(0, 5), (1, \frac{15}{4}), (2, \frac{5}{2})$

Step 7

Find Three Ordered Pair Solutions y=-5/4x+5

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