Find Three Ordered Pair Solutions 4x+y=11

$4 x + y = 11$

Step 1

Subtract $4 x$ from both sides of the equation.

$y = 11 - 4 x$

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.

$y = 11 - 4 \cdot 0$

Simplify $11 - 4 \cdot 0$ .

Multiply $- 4$ 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.

$y = 11 - 4 \cdot 1$

Simplify $11 - 4 \cdot 1$ .

Multiply $- 4$ by $1$ .

$y = 11 - 4$

Subtract $4$ from $11$ .

$y = 7$

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

$(1, 7)$

Step 5

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

Remove parentheses.

$y = 11 - 4 \cdot 2$

Simplify $11 - 4 \cdot 2$ .

Multiply $- 4$ by $2$ .

$y = 11 - 8$

Subtract $8$ from $11$ .

$y = 3$

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

$(2, 3)$

Step 6

These are three possible solutions to the equation.

$(0, 11), (1, 7), (2, 3)$

Step 7