Find Three Ordered Pair Solutions 5x-y=5

$5 x - y = 5$

Step 1

Solve the equation for $y$ .

Subtract $5 x$ from both sides of the equation.

$- y = 5 - 5 x$

Divide each term in $- y = 5 - 5 x$ by $- 1$ and simplify.

Divide each term in $- y = 5 - 5 x$ by $- 1$ .

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

Simplify the left side.

Dividing two negative values results in a positive value.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Simplify each term.

Divide $5$ by $- 1$ .

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

Move the negative one from the denominator of $\frac{- 5 x}{- 1}$ .

$y = - 5 - 1 \cdot (- 5 x)$

Rewrite $- 1 \cdot (- 5 x)$ as $- (- 5 x)$ .

$y = - 5 - (- 5 x)$

Multiply $- 5$ by $- 1$ .

$y = - 5 + 5 x$

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.

$y = - 5 + 5 (0)$

Simplify $- 5 + 5 (0)$ .

Multiply $5$ 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.

$y = - 5 + 5 (1)$

Simplify $- 5 + 5 (1)$ .

Multiply $5$ by $1$ .

$y = - 5 + 5$

Add $- 5$ and $5$ .

$y = 0$

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

$(1, 0)$

Step 5

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

Remove parentheses.

$y = - 5 + 5 (2)$

Simplify $- 5 + 5 (2)$ .

Multiply $5$ by $2$ .

$y = - 5 + 10$

Add $- 5$ and $10$ .

$y = 5$

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

$(2, 5)$

Step 6

These are three possible solutions to the equation.

$(0, - 5), (1, 0), (2, 5)$

Step 7

Find Three Ordered Pair Solutions 5x-y=5

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