Find Three Ordered Pair Solutions -8x+5y=20

$- 8 x + 5 y = 20$

Step 1

Solve the equation for $y$ .

Add $8 x$ to both sides of the equation.

$5 y = 20 + 8 x$

Divide each term in $5 y = 20 + 8 x$ by $5$ and simplify.

Divide each term in $5 y = 20 + 8 x$ by $5$ .

$\frac{5 y}{5} = \frac{20}{5} + \frac{8 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{20}{5} + \frac{8 x}{5}$

Divide $y$ by $1$ .

$y = \frac{20}{5} + \frac{8 x}{5}$

Simplify the right side.

Divide $20$ by $5$ .

$y = 4 + \frac{8 x}{5}$

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.

$y = 4 + \frac{8 (0)}{5}$

Simplify $4 + \frac{8 (0)}{5}$ .

Multiply $8$ by $0$ .

$y = 4 + \frac{0}{5}$

Divide $0$ by $5$ .

$y = 4 + 0$

Add $4$ and $0$ .

$y = 4$

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

$(0, 4)$

Step 4

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

Remove parentheses.

$y = 4 + \frac{8 (1)}{5}$

Simplify $4 + \frac{8 (1)}{5}$ .

Multiply $8$ by $1$ .

$y = 4 + \frac{8}{5}$

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

$y = 4 \cdot \frac{5}{5} + \frac{8}{5}$

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

$y = \frac{4 \cdot 5}{5} + \frac{8}{5}$

Combine the numerators over the common denominator.

$y = \frac{4 \cdot 5 + 8}{5}$

Simplify the numerator.

Multiply $4$ by $5$ .

$y = \frac{20 + 8}{5}$

Add $20$ and $8$ .

$y = \frac{28}{5}$

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

$(1, \frac{28}{5})$

Step 5

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

Remove parentheses.

$y = 4 + \frac{8 (2)}{5}$

Simplify $4 + \frac{8 (2)}{5}$ .

Multiply $8$ by $2$ .

$y = 4 + \frac{16}{5}$

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

$y = 4 \cdot \frac{5}{5} + \frac{16}{5}$

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

$y = \frac{4 \cdot 5}{5} + \frac{16}{5}$

Combine the numerators over the common denominator.

$y = \frac{4 \cdot 5 + 16}{5}$

Simplify the numerator.

Multiply $4$ by $5$ .

$y = \frac{20 + 16}{5}$

Add $20$ and $16$ .

$y = \frac{36}{5}$

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

$(2, \frac{36}{5})$

Step 6

These are three possible solutions to the equation.

$(0, 4), (1, \frac{28}{5}), (2, \frac{36}{5})$

Step 7

Find Three Ordered Pair Solutions -8x+5y=20

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