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

$8 x - 5 y = 8$

Step 1

Solve the equation for $y$ .

Subtract $8 x$ from both sides of the equation.

$- 5 y = 8 - 8 x$

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

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

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

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

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

Dividing two negative values results in a positive value.

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

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.

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

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

Combine the numerators over the common denominator.

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

Simplify the expression.

Multiply $8$ by $0$ .

$y = \frac{- 8 + 0}{5}$

Add $- 8$ and $0$ .

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

Move the negative in front of the fraction.

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

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

$(0, - \frac{8}{5})$

Step 4

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

Remove parentheses.

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

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

Combine the numerators over the common denominator.

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

Simplify the expression.

Multiply $8$ by $1$ .

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

Add $- 8$ and $8$ .

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

Divide $0$ by $5$ .

$y = 0$

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

$(1, 0)$

Step 5

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

Remove parentheses.

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

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

Combine the numerators over the common denominator.

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

Simplify the expression.

Multiply $8$ by $2$ .

$y = \frac{- 8 + 16}{5}$

Add $- 8$ and $16$ .

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

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

$(2, \frac{8}{5})$

Step 6

These are three possible solutions to the equation.

$(0, - \frac{8}{5}), (1, 0), (2, \frac{8}{5})$

Step 7

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

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