Find Three Ordered Pair Solutions 5y=8-2x

$5 y = 8 - 2 x$

Step 1

Divide each term in $5 y = 8 - 2 x$ by $5$ and simplify.

Divide each term in $5 y = 8 - 2 x$ by $5$ .

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

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{8}{5} - \frac{2 x}{5}$

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.

$y = \frac{8}{5} - \frac{2 (0)}{5}$

Simplify $\frac{8}{5} - \frac{2 (0)}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{8 - 2 \cdot 0}{5}$

Simplify the expression.

Multiply $- 2$ by $0$ .

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

Add $8$ and $0$ .

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

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.

$y = \frac{8}{5} - \frac{2 (1)}{5}$

Simplify $\frac{8}{5} - \frac{2 (1)}{5}$ .

Combine the numerators over the common denominator.

$y = \frac{8 - 2 \cdot 1}{5}$

Simplify the expression.

Multiply $- 2$ by $1$ .

$y = \frac{8 - 2}{5}$

Subtract $2$ from $8$ .

$y = \frac{6}{5}$

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

$(1, \frac{6}{5})$

Step 5

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

Remove parentheses.

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

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

Combine the numerators over the common denominator.

$y = \frac{8 - 2 \cdot 2}{5}$

Simplify the expression.

Multiply $- 2$ by $2$ .

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

Subtract $4$ from $8$ .

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

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

$(2, \frac{4}{5})$

Step 6

These are three possible solutions to the equation.

$(0, \frac{8}{5}), (1, \frac{6}{5}), (2, \frac{4}{5})$

Step 7

Find Three Ordered Pair Solutions 5y=8-2x

Related Questions

Support LCMGCF.com by disabling your adblocker.