Find Three Ordered Pair Solutions -7x-7y=0

$- 7 x - 7 y = 0$

Step 1

Solve the equation for $y$ .

Add $7 x$ to both sides of the equation.

$- 7 y = 7 x$

Divide each term in $- 7 y = 7 x$ by $- 7$ and simplify.

Divide each term in $- 7 y = 7 x$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{7 x}{- 7}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{7 x}{- 7}$

Divide $y$ by $1$ .

$y = \frac{7 x}{- 7}$

Simplify the right side.

Cancel the common factor of $7$ and $- 7$ .

Factor $7$ out of $7 x$ .

$y = \frac{7 (x)}{- 7}$

Move the negative one from the denominator of $\frac{x}{- 1}$ .

$y = - 1 \cdot x$

Rewrite $- 1 \cdot x$ as $- x$ .

$y = - x$

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.

$y = - (0)$

Multiply $- 1$ by $0$ .

$y = 0$

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

$(0, 0)$

Step 4

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

Remove parentheses.

$y = - (1)$

Multiply $- 1$ by $1$ .

$y = - 1$

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

$(1, - 1)$

Step 5

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

Remove parentheses.

$y = - (2)$

Multiply $- 1$ by $2$ .

$y = - 2$

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

$(2, - 2)$

Step 6

These are three possible solutions to the equation.

$(0, 0), (1, - 1), (2, - 2)$

Step 7

Find Three Ordered Pair Solutions -7x-7y=0

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