Find Three Ordered Pair Solutions 6x+y=1

$6 x + y = 1$

Step 1

Subtract $6 x$ from both sides of the equation.

$y = 1 - 6 x$

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.

$y = 1 - 6 \cdot 0$

Simplify $1 - 6 \cdot 0$ .

Multiply $- 6$ by $0$ .

$y = 1 + 0$

Add $1$ and $0$ .

$y = 1$

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

$(0, 1)$

Step 4

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

Remove parentheses.

$y = 1 - 6 \cdot 1$

Simplify $1 - 6 \cdot 1$ .

Multiply $- 6$ by $1$ .

$y = 1 - 6$

Subtract $6$ from $1$ .

$y = - 5$

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

$(1, - 5)$

Step 5

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

Remove parentheses.

$y = 1 - 6 \cdot 2$

Simplify $1 - 6 \cdot 2$ .

Multiply $- 6$ by $2$ .

$y = 1 - 12$

Subtract $12$ from $1$ .

$y = - 11$

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

$(2, - 11)$

Step 6

These are three possible solutions to the equation.

$(0, 1), (1, - 5), (2, - 11)$

Step 7