Find Three Ordered Pair Solutions 4x-2y=14

$4 x - 2 y = 14$

Step 1

Solve the equation for $y$ .

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

$- 2 y = 14 - 4 x$

Divide each term in $- 2 y = 14 - 4 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 14 - 4 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{14}{- 2} + \frac{- 4 x}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{14}{- 2} + \frac{- 4 x}{- 2}$

Divide $y$ by $1$ .

$y = \frac{14}{- 2} + \frac{- 4 x}{- 2}$

Simplify the right side.

Simplify each term.

Divide $14$ by $- 2$ .

$y = - 7 + \frac{- 4 x}{- 2}$

Cancel the common factor of $- 4$ and $- 2$ .

Factor $- 2$ out of $- 4 x$ .

$y = - 7 + \frac{- 2 (2 x)}{- 2}$

Cancel the common factors.

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

$y = - 7 + \frac{- 2 (2 x)}{- 2 (1)}$

Cancel the common factor.

$y = - 7 + \frac{- 2 (2 x)}{- 2 \cdot 1}$

Rewrite the expression.

$y = - 7 + \frac{2 x}{1}$

Divide $2 x$ by $1$ .

$y = - 7 + 2 x$

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.

$y = - 7 + 2 (0)$

Simplify $- 7 + 2 (0)$ .

Multiply $2$ by $0$ .

$y = - 7 + 0$

Add $- 7$ and $0$ .

$y = - 7$

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

$(0, - 7)$

Step 4

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

Remove parentheses.

$y = - 7 + 2 (1)$

Simplify $- 7 + 2 (1)$ .

Multiply $2$ by $1$ .

$y = - 7 + 2$

Add $- 7$ and $2$ .

$y = - 5$

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.

$y = - 7 + 2 (2)$

Simplify $- 7 + 2 (2)$ .

Multiply $2$ by $2$ .

$y = - 7 + 4$

Add $- 7$ and $4$ .

$y = - 3$

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

$(2, - 3)$

Step 6

These are three possible solutions to the equation.

$(0, - 7), (1, - 5), (2, - 3)$

Step 7

Find Three Ordered Pair Solutions 4x-2y=14

Related Questions

Support LCMGCF.com by disabling your adblocker.