Find Three Ordered Pair Solutions -2y=x-10

$- 2 y = x - 10$

Step 1

Divide each term in $- 2 y = x - 10$ by $- 2$ and simplify.

Divide each term in $- 2 y = x - 10$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{x}{- 2} + \frac{- 10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{x}{- 2} + \frac{- 10}{- 2}$

Divide $y$ by $1$ .

$y = \frac{x}{- 2} + \frac{- 10}{- 2}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{x}{2} + \frac{- 10}{- 2}$

Divide $- 10$ by $- 2$ .

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

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.

$y = - \frac{0}{2} + 5$

Simplify $- \frac{0}{2} + 5$ .

Simplify each term.

Divide $0$ by $2$ .

$y = - 0 + 5$

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.

$y = - \frac{1}{2} + 5$

Simplify $- \frac{1}{2} + 5$ .

To write $5$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Combine $5$ and $\frac{2}{2}$ .

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $5$ by $2$ .

$y = \frac{- 1 + 10}{2}$

Add $- 1$ and $10$ .

$y = \frac{9}{2}$

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

$(1, \frac{9}{2})$

Step 5

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

Remove parentheses.

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

Simplify $- \frac{2}{2} + 5$ .

Simplify each term.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$y = - 1 \cdot 1 + 5$

Multiply $- 1$ by $1$ .

$y = - 1 + 5$

Add $- 1$ and $5$ .

$y = 4$

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

$(2, 4)$

Step 6

These are three possible solutions to the equation.

$(0, 5), (1, \frac{9}{2}), (2, 4)$

Step 7

Find Three Ordered Pair Solutions -2y=x-10

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