Solve by Graphing y=6x-11 -2x-3y=-7

$y = 6 x - 11$ $- 2 x - 3 y = - 7$

Step 1

Add $2 x$ to both sides of the equation.

$- 3 y = - 7 + 2 x$

$y = 6 x - 11$

Step 2

Divide each term in $- 3 y = - 7 + 2 x$ by $- 3$ and simplify.

Divide each term in $- 3 y = - 7 + 2 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 7}{- 3} + \frac{2 x}{- 3}$

$y = 6 x - 11$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 7}{- 3} + \frac{2 x}{- 3}$

$y = 6 x - 11$

Divide $y$ by $1$ .

$y = \frac{- 7}{- 3} + \frac{2 x}{- 3}$

$y = 6 x - 11$

$y = \frac{- 7}{- 3} + \frac{2 x}{- 3}$

$y = 6 x - 11$

$y = \frac{- 7}{- 3} + \frac{2 x}{- 3}$

$y = 6 x - 11$

Simplify the right side.

Simplify each term.

Dividing two negative values results in a positive value.

$y = \frac{7}{3} + \frac{2 x}{- 3}$

$y = 6 x - 11$

Move the negative in front of the fraction.

$y = \frac{7}{3} - \frac{2 x}{3}$

$y = 6 x - 11$

$y = \frac{7}{3} - \frac{2 x}{3}$

$y = 6 x - 11$

$y = \frac{7}{3} - \frac{2 x}{3}$

$y = 6 x - 11$

$y = \frac{7}{3} - \frac{2 x}{3}$

$y = 6 x - 11$

Step 3

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

$(2, 1)$

Step 4