Solve by Graphing -4x+2y=-9 , 2y=5x+3

$- 4 x + 2 y = - 9$ , $2 y = 5 x + 3$

Step 1

Add $4 x$ to both sides of the equation.

$2 y = - 9 + 4 x$

$2 y = 5 x + 3$

Step 2

Divide each term in $2 y = - 9 + 4 x$ by $2$ and simplify.

Divide each term in $2 y = - 9 + 4 x$ by $2$ .

$\frac{2 y}{2} = \frac{- 9}{2} + \frac{4 x}{2}$

$2 y = 5 x + 3$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 9}{2} + \frac{4 x}{2}$

$2 y = 5 x + 3$

Divide $y$ by $1$ .

$y = \frac{- 9}{2} + \frac{4 x}{2}$

$2 y = 5 x + 3$

$y = \frac{- 9}{2} + \frac{4 x}{2}$

$2 y = 5 x + 3$

$y = \frac{- 9}{2} + \frac{4 x}{2}$

$2 y = 5 x + 3$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{9}{2} + \frac{4 x}{2}$

$2 y = 5 x + 3$

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

Factor $2$ out of $4 x$ .

$y = - \frac{9}{2} + \frac{2 (2 x)}{2}$

$2 y = 5 x + 3$

Cancel the common factors.

Factor $2$ out of $2$ .

$y = - \frac{9}{2} + \frac{2 (2 x)}{2 (1)}$

$2 y = 5 x + 3$

Cancel the common factor.

$y = - \frac{9}{2} + \frac{2 (2 x)}{2 \cdot 1}$

$2 y = 5 x + 3$

Rewrite the expression.

$y = - \frac{9}{2} + \frac{2 x}{1}$

$2 y = 5 x + 3$

Divide $2 x$ by $1$ .

$y = - \frac{9}{2} + 2 x$

$2 y = 5 x + 3$

$y = - \frac{9}{2} + 2 x$

$2 y = 5 x + 3$

$y = - \frac{9}{2} + 2 x$

$2 y = 5 x + 3$

$y = - \frac{9}{2} + 2 x$

$2 y = 5 x + 3$

$y = - \frac{9}{2} + 2 x$

$2 y = 5 x + 3$

$y = - \frac{9}{2} + 2 x$

$2 y = 5 x + 3$

Step 3

Divide each term in $2 y = 5 x + 3$ by $2$ and simplify.

Divide each term in $2 y = 5 x + 3$ by $2$ .

$\frac{2 y}{2} = \frac{5 x}{2} + \frac{3}{2}$

$y = - \frac{9}{2} + 2 x$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{5 x}{2} + \frac{3}{2}$

$y = - \frac{9}{2} + 2 x$

Divide $y$ by $1$ .

$y = \frac{5 x}{2} + \frac{3}{2}$

$y = - \frac{9}{2} + 2 x$

$y = \frac{5 x}{2} + \frac{3}{2}$

$y = - \frac{9}{2} + 2 x$

$y = \frac{5 x}{2} + \frac{3}{2}$

$y = - \frac{9}{2} + 2 x$

$y = \frac{5 x}{2} + \frac{3}{2}$

$y = - \frac{9}{2} + 2 x$

Step 4

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

$(- 12, - \frac{57}{2})$

Step 5

Solve by Graphing -4x+2y=-9 , 2y=5x+3

Related Questions

Support LCMGCF.com by disabling your adblocker.