Find Three Ordered Pair Solutions y+5x=2

$y + 5 x = 2$

Step 1

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

$y = 2 - 5 x$

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.

$y = 2 - 5 \cdot 0$

Simplify $2 - 5 \cdot 0$ .

Multiply $- 5$ by $0$ .

$y = 2 + 0$

Add $2$ and $0$ .

$y = 2$

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

$(0, 2)$

Step 4

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

Remove parentheses.

$y = 2 - 5 \cdot 1$

Simplify $2 - 5 \cdot 1$ .

Multiply $- 5$ by $1$ .

$y = 2 - 5$

Subtract $5$ from $2$ .

$y = - 3$

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

$(1, - 3)$

Step 5

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

Remove parentheses.

$y = 2 - 5 \cdot 2$

Simplify $2 - 5 \cdot 2$ .

Multiply $- 5$ by $2$ .

$y = 2 - 10$

Subtract $10$ from $2$ .

$y = - 8$

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

$(2, - 8)$

Step 6

These are three possible solutions to the equation.

$(0, 2), (1, - 3), (2, - 8)$

Step 7