Solve by Graphing -2x=-11-y , 2y=4x+3

$- 2 x = - 11 - y$ , $2 y = 4 x + 3$

Step 1

Rewrite the equation as $- 11 - y = - 2 x$ .

$- 11 - y = - 2 x$

$2 y = 4 x + 3$

Step 2

Add $11$ to both sides of the equation.

$- y = - 2 x + 11$

$2 y = 4 x + 3$

Step 3

Divide each term in $- y = - 2 x + 11$ by $- 1$ and simplify.

Divide each term in $- y = - 2 x + 11$ by $- 1$ .

$\frac{- y}{- 1} = \frac{- 2 x}{- 1} + \frac{11}{- 1}$

$2 y = 4 x + 3$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{- 2 x}{- 1} + \frac{11}{- 1}$

$2 y = 4 x + 3$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{- 1} + \frac{11}{- 1}$

$2 y = 4 x + 3$

$y = \frac{- 2 x}{- 1} + \frac{11}{- 1}$

$2 y = 4 x + 3$

Simplify the right side.

Simplify each term.

Move the negative one from the denominator of $\frac{- 2 x}{- 1}$ .

$y = - 1 \cdot (- 2 x) + \frac{11}{- 1}$

$2 y = 4 x + 3$

Rewrite $- 1 \cdot (- 2 x)$ as $- (- 2 x)$ .

$y = - (- 2 x) + \frac{11}{- 1}$

$2 y = 4 x + 3$

Multiply $- 2$ by $- 1$ .

$y = 2 x + \frac{11}{- 1}$

$2 y = 4 x + 3$

Divide $11$ by $- 1$ .

$y = 2 x - 11$

$2 y = 4 x + 3$

$y = 2 x - 11$

$2 y = 4 x + 3$

$y = 2 x - 11$

$2 y = 4 x + 3$

$y = 2 x - 11$

$2 y = 4 x + 3$

Step 4

Divide each term in $2 y = 4 x + 3$ by $2$ and simplify.

Divide each term in $2 y = 4 x + 3$ by $2$ .

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{3}{2}$

$y = 2 x - 11$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{4 x}{2} + \frac{3}{2}$

$y = 2 x - 11$

Divide $y$ by $1$ .

$y = \frac{4 x}{2} + \frac{3}{2}$

$y = 2 x - 11$

$y = \frac{4 x}{2} + \frac{3}{2}$

$y = 2 x - 11$

$y = \frac{4 x}{2} + \frac{3}{2}$

$y = 2 x - 11$

Simplify the right side.

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

Factor $2$ out of $4 x$ .

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

$y = 2 x - 11$

Cancel the common factors.

Factor $2$ out of $2$ .

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

$y = 2 x - 11$

Cancel the common factor.

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

$y = 2 x - 11$

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{3}{2}$

$y = 2 x - 11$

Divide $2 x$ by $1$ .

$y = 2 x + \frac{3}{2}$

$y = 2 x - 11$

$y = 2 x + \frac{3}{2}$

$y = 2 x - 11$

$y = 2 x + \frac{3}{2}$

$y = 2 x - 11$

$y = 2 x + \frac{3}{2}$

$y = 2 x - 11$

$y = 2 x + \frac{3}{2}$

$y = 2 x - 11$

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=-11-y , 2y=4x+3

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