Find Three Ordered Pair Solutions 3y=5x-15

$3 y = 5 x - 15$

Step 1

Divide each term in $3 y = 5 x - 15$ by $3$ and simplify.

Divide each term in $3 y = 5 x - 15$ by $3$ .

$\frac{3 y}{3} = \frac{5 x}{3} + \frac{- 15}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{5 x}{3} + \frac{- 15}{3}$

Divide $y$ by $1$ .

$y = \frac{5 x}{3} + \frac{- 15}{3}$

Simplify the right side.

Divide $- 15$ by $3$ .

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

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.

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

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

Multiply $5$ by $0$ .

$y = \frac{0}{3} - 5$

Divide $0$ by $3$ .

$y = 0 - 5$

Subtract $5$ from $0$ .

$y = - 5$

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.

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

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

Multiply $5$ by $1$ .

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $- 5$ by $3$ .

$y = \frac{5 - 15}{3}$

Subtract $15$ from $5$ .

$y = \frac{- 10}{3}$

Move the negative in front of the fraction.

$y = - \frac{10}{3}$

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

$(1, - \frac{10}{3})$

Step 5

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

Remove parentheses.

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

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

Multiply $5$ by $2$ .

$y = \frac{10}{3} - 5$

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

$y = \frac{10}{3} - 5 \cdot \frac{3}{3}$

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

$y = \frac{10}{3} + \frac{- 5 \cdot 3}{3}$

Combine the numerators over the common denominator.

$y = \frac{10 - 5 \cdot 3}{3}$

Simplify the numerator.

Multiply $- 5$ by $3$ .

$y = \frac{10 - 15}{3}$

Subtract $15$ from $10$ .

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

Move the negative in front of the fraction.

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

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

$(2, - \frac{5}{3})$

Step 6

These are three possible solutions to the equation.

$(0, - 5), (1, - \frac{10}{3}), (2, - \frac{5}{3})$

Step 7

Find Three Ordered Pair Solutions 3y=5x-15

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