Solve by Graphing 2x-2y=14 x-y=2

$2 x - 2 y = 14$ $x - y = 2$

Step 1

Subtract $2 x$ from both sides of the equation.

$- 2 y = 14 - 2 x$

$x - y = 2$

Step 2

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

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

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

$x - y = 2$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

$x - y = 2$

Divide $y$ by $1$ .

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

$x - y = 2$

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

$x - y = 2$

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

$x - y = 2$

Simplify the right side.

Simplify each term.

Divide $14$ by $- 2$ .

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

$x - y = 2$

Cancel the common factor of $- 2$ .

Cancel the common factor.

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

$x - y = 2$

Divide $x$ by $1$ .

$y = - 7 + x$

$x - y = 2$

$y = - 7 + x$

$x - y = 2$

$y = - 7 + x$

$x - y = 2$

$y = - 7 + x$

$x - y = 2$

$y = - 7 + x$

$x - y = 2$

Step 3

Subtract $x$ from both sides of the equation.

$- y = 2 - x$

$y = - 7 + x$

Step 4

Divide each term in $- y = 2 - x$ by $- 1$ and simplify.

Divide each term in $- y = 2 - x$ by $- 1$ .

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

$y = - 7 + x$

Simplify the left side.

Dividing two negative values results in a positive value.

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

$y = - 7 + x$

Divide $y$ by $1$ .

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

$y = - 7 + x$

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

$y = - 7 + x$

Simplify the right side.

Simplify each term.

Divide $2$ by $- 1$ .

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

$y = - 7 + x$

Dividing two negative values results in a positive value.

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

$y = - 7 + x$

Divide $x$ by $1$ .

$y = - 2 + x$

$y = - 7 + x$

$y = - 2 + x$

$y = - 7 + x$

$y = - 2 + x$

$y = - 7 + x$

$y = - 2 + x$

$y = - 7 + x$

Step 5

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

No solution

Step 6

Solve by Graphing 2x-2y=14 x-y=2

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