Find Three Ordered Pair Solutions y=-4/3x+5

$y = - \frac{4}{3} x + 5$

Step 1

Simplify each term.

Combine $x$ and $\frac{4}{3}$ .

$y = - \frac{x \cdot 4}{3} + 5$

Move $4$ to the left of $x$ .

$y = - \frac{4 x}{3} + 5$

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.

$y = - \frac{4 (0)}{3} + 5$

Simplify $- \frac{4 (0)}{3} + 5$ .

Simplify each term.

Cancel the common factor of $0$ and $3$ .

Factor $3$ out of $4 (0)$ .

$y = - \frac{3 (4 \cdot (0))}{3} + 5$

Cancel the common factors.

Factor $3$ out of $3$ .

$y = - \frac{3 (4 \cdot (0))}{3 (1)} + 5$

Cancel the common factor.

$y = - \frac{3 (4 \cdot (0))}{3 \cdot 1} + 5$

Rewrite the expression.

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

Divide $4 \cdot (0)$ by $1$ .

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

Multiply $- (4 \cdot (0))$ .

Multiply $4$ 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.

$y = - \frac{4 (1)}{3} + 5$

Simplify $- \frac{4 (1)}{3} + 5$ .

Multiply $4$ by $1$ .

$y = - \frac{4}{3} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = - \frac{4}{3} + 5 \cdot \frac{3}{3}$

Combine $5$ and $\frac{3}{3}$ .

$y = - \frac{4}{3} + \frac{5 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 4 + 5 \cdot 3}{3}$

Simplify the numerator.

Multiply $5$ by $3$ .

$y = \frac{- 4 + 15}{3}$

Add $- 4$ and $15$ .

$y = \frac{11}{3}$

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

$(1, \frac{11}{3})$

Step 5

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

Remove parentheses.

$y = - \frac{4 (2)}{3} + 5$

Simplify $- \frac{4 (2)}{3} + 5$ .

Multiply $4$ by $2$ .

$y = - \frac{8}{3} + 5$

To write $5$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = - \frac{8}{3} + 5 \cdot \frac{3}{3}$

Combine $5$ and $\frac{3}{3}$ .

$y = - \frac{8}{3} + \frac{5 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{- 8 + 5 \cdot 3}{3}$

Simplify the numerator.

Multiply $5$ by $3$ .

$y = \frac{- 8 + 15}{3}$

Add $- 8$ and $15$ .

$y = \frac{7}{3}$

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

$(2, \frac{7}{3})$

Step 6

These are three possible solutions to the equation.

$(0, 5), (1, \frac{11}{3}), (2, \frac{7}{3})$

Step 7

Find Three Ordered Pair Solutions y=-4/3x+5

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