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

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

Step 1

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

$3 y = 3 - 2 x$

$3 x - 2 y = 11$

Step 2

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

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

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

$3 x - 2 y = 11$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

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

$3 x - 2 y = 11$

Divide $y$ by $1$ .

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

$3 x - 2 y = 11$

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

$3 x - 2 y = 11$

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

$3 x - 2 y = 11$

Simplify the right side.

Simplify each term.

Divide $3$ by $3$ .

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

$3 x - 2 y = 11$

Move the negative in front of the fraction.

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

$3 x - 2 y = 11$

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

$3 x - 2 y = 11$

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

$3 x - 2 y = 11$

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

$3 x - 2 y = 11$

Step 3

Subtract $3 x$ from both sides of the equation.

$- 2 y = 11 - 3 x$

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

Step 4

Divide each term in $- 2 y = 11 - 3 x$ by $- 2$ and simplify.

Divide each term in $- 2 y = 11 - 3 x$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{11}{- 2} + \frac{- 3 x}{- 2}$

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

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{11}{- 2} + \frac{- 3 x}{- 2}$

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

Divide $y$ by $1$ .

$y = \frac{11}{- 2} + \frac{- 3 x}{- 2}$

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

$y = \frac{11}{- 2} + \frac{- 3 x}{- 2}$

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

$y = \frac{11}{- 2} + \frac{- 3 x}{- 2}$

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

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$y = - \frac{11}{2} + \frac{- 3 x}{- 2}$

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

Dividing two negative values results in a positive value.

$y = - \frac{11}{2} + \frac{3 x}{2}$

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

$y = - \frac{11}{2} + \frac{3 x}{2}$

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

$y = - \frac{11}{2} + \frac{3 x}{2}$

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

$y = - \frac{11}{2} + \frac{3 x}{2}$

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

Step 5

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

$(3, - 1)$

Step 6

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

Related Questions

Support LCMGCF.com by disabling your adblocker.