Solve by Graphing 2x+2y=4 , 5y-3x=6

$2 x + 2 y = 4$ , $5 y - 3 x = 6$

Step 1

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

$2 y = 4 - 2 x$

$5 y - 3 x = 6$

Step 2

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

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

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

$5 y - 3 x = 6$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

$5 y - 3 x = 6$

Divide $y$ by $1$ .

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

$5 y - 3 x = 6$

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

$5 y - 3 x = 6$

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

$5 y - 3 x = 6$

Simplify the right side.

Simplify each term.

Divide $4$ by $2$ .

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

$5 y - 3 x = 6$

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

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

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

$5 y - 3 x = 6$

Cancel the common factors.

Factor $2$ out of $2$ .

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

$5 y - 3 x = 6$

Cancel the common factor.

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

$5 y - 3 x = 6$

Rewrite the expression.

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

$5 y - 3 x = 6$

Divide $- x$ by $1$ .

$y = 2 - x$

$5 y - 3 x = 6$

$y = 2 - x$

$5 y - 3 x = 6$

$y = 2 - x$

$5 y - 3 x = 6$

$y = 2 - x$

$5 y - 3 x = 6$

$y = 2 - x$

$5 y - 3 x = 6$

$y = 2 - x$

$5 y - 3 x = 6$

Step 3

Add $3 x$ to both sides of the equation.

$5 y = 6 + 3 x$

$y = 2 - x$

Step 4

Divide each term in $5 y = 6 + 3 x$ by $5$ and simplify.

Divide each term in $5 y = 6 + 3 x$ by $5$ .

$\frac{5 y}{5} = \frac{6}{5} + \frac{3 x}{5}$

$y = 2 - x$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{6}{5} + \frac{3 x}{5}$

$y = 2 - x$

Divide $y$ by $1$ .

$y = \frac{6}{5} + \frac{3 x}{5}$

$y = 2 - x$

$y = \frac{6}{5} + \frac{3 x}{5}$

$y = 2 - x$

$y = \frac{6}{5} + \frac{3 x}{5}$

$y = 2 - x$

$y = \frac{6}{5} + \frac{3 x}{5}$

$y = 2 - x$

Step 5

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

$(\frac{1}{2}, \frac{3}{2})$

Step 6

Solve by Graphing 2x+2y=4 , 5y-3x=6

Related Questions

Support LCMGCF.com by disabling your adblocker.