Find Three Ordered Pair Solutions 6x-2y=16

$6 x - 2 y = 16$

Step 1

Solve the equation for $y$ .

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

$- 2 y = 16 - 6 x$

Divide each term in $- 2 y = 16 - 6 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 16 - 6 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{16}{- 2} + \frac{- 6 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{16}{- 2} + \frac{- 6 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{16}{- 2} + \frac{- 6 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $16$ by $- 2$ .

$y = - 8 + \frac{- 6 x}{- 2}$

Cancel the common factor of $- 6$ and $- 2$ .

Factor $- 2$ out of $- 6 x$ .

$y = - 8 + \frac{- 2 (3 x)}{- 2}$

Cancel the common factors.

Factor $- 2$ out of $- 2$ .

$y = - 8 + \frac{- 2 (3 x)}{- 2 (1)}$

Cancel the common factor.

$y = - 8 + \frac{- 2 (3 x)}{- 2 \cdot 1}$

Rewrite the expression.

$y = - 8 + \frac{3 x}{1}$

Divide $3 x$ by $1$ .

$y = - 8 + 3 x$

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.

$y = - 8 + 3 (0)$

Simplify $- 8 + 3 (0)$ .

Multiply $3$ by $0$ .

$y = - 8 + 0$

Add $- 8$ and $0$ .

$y = - 8$

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

$(0, - 8)$

Step 4

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

Remove parentheses.

$y = - 8 + 3 (1)$

Simplify $- 8 + 3 (1)$ .

Multiply $3$ by $1$ .

$y = - 8 + 3$

Add $- 8$ and $3$ .

$y = - 5$

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.

$y = - 8 + 3 (2)$

Simplify $- 8 + 3 (2)$ .

Multiply $3$ by $2$ .

$y = - 8 + 6$

Add $- 8$ and $6$ .

$y = - 2$

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

$(2, - 2)$

Step 6

These are three possible solutions to the equation.

$(0, - 8), (1, - 5), (2, - 2)$

Step 7

Find Three Ordered Pair Solutions 6x-2y=16

Related Questions

Support LCMGCF.com by disabling your adblocker.