Find Three Ordered Pair Solutions 2x-y=11

$2 x - y = 11$

Step 1

Solve the equation for $y$ .

Subtract $2 x$ from both sides of the equation.

$- y = 11 - 2 x$

Divide each term in $- y = 11 - 2 x$ by $- 1$ and simplify.

Divide each term in $- y = 11 - 2 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{11}{- 1} + \frac{- 2 x}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{11}{- 1} + \frac{- 2 x}{- 1}$

Divide $y$ by $1$ .

$y = \frac{11}{- 1} + \frac{- 2 x}{- 1}$

Simplify the right side.

Simplify each term.

Divide $11$ by $- 1$ .

$y = - 11 + \frac{- 2 x}{- 1}$

Move the negative one from the denominator of $\frac{- 2 x}{- 1}$ .

$y = - 11 - 1 \cdot (- 2 x)$

Rewrite $- 1 \cdot (- 2 x)$ as $- (- 2 x)$ .

$y = - 11 - (- 2 x)$

Multiply $- 2$ by $- 1$ .

$y = - 11 + 2 x$

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.

$y = - 11 + 2 (0)$

Simplify $- 11 + 2 (0)$ .

Multiply $2$ by $0$ .

$y = - 11 + 0$

Add $- 11$ and $0$ .

$y = - 11$

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

$(0, - 11)$

Step 4

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

Remove parentheses.

$y = - 11 + 2 (1)$

Simplify $- 11 + 2 (1)$ .

Multiply $2$ by $1$ .

$y = - 11 + 2$

Add $- 11$ and $2$ .

$y = - 9$

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

$(1, - 9)$

Step 5

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

Remove parentheses.

$y = - 11 + 2 (2)$

Simplify $- 11 + 2 (2)$ .

Multiply $2$ by $2$ .

$y = - 11 + 4$

Add $- 11$ and $4$ .

$y = - 7$

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

$(2, - 7)$

Step 6

These are three possible solutions to the equation.

$(0, - 11), (1, - 9), (2, - 7)$

Step 7

Find Three Ordered Pair Solutions 2x-y=11

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