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

$- x - 2 y = - 10$

Step 1

Solve the equation for $y$ .

Add $x$ to both sides of the equation.

$- 2 y = - 10 + x$

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

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

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $- 10$ by $- 2$ .

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

Move the negative in front of the fraction.

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

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.

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

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

Simplify each term.

Divide $0$ by $2$ .

$y = 5 - 0$

Multiply $- 1$ by $0$ .

$y = 5 + 0$

Add $5$ and $0$ .

$y = 5$

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.

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

Multiply $5$ by $2$ .

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

Subtract $1$ from $10$ .

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

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.

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

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

Simplify each term.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Rewrite the expression.

$y = 5 - 1 \cdot 1$

Multiply $- 1$ by $1$ .

$y = 5 - 1$

Subtract $1$ from $5$ .

$y = 4$

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 -x-2y=-10

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