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

$2 y - 2 x = 10$

Step 1

Solve the equation for $y$ .

Add $2 x$ to both sides of the equation.

$2 y = 10 + 2 x$

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

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

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $10$ by $2$ .

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

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$y = 5 + x$

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.

$y = 5 + 0$

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.

$y = 5 + 1$

Add $5$ and $1$ .

$y = 6$

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

$(1, 6)$

Step 5

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

Remove parentheses.

$y = 5 + 2$

Add $5$ and $2$ .

$y = 7$

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

$(2, 7)$

Step 6

These are three possible solutions to the equation.

$(0, 5), (1, 6), (2, 7)$

Step 7

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

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