Solve by Graphing y=-5/3x-6 2x-3y=-24

$y = - \frac{5}{3} x - 6$ $2 x - 3 y = - 24$

Simplify each term.

Combine $x$ and $\frac{5}{3}$ .

$y = - \frac{x \cdot 5}{3} - 6$

$2 x - 3 y = - 24$

Move $5$ to the left of $x$ .

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

$2 x - 3 y = - 24$

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

$2 x - 3 y = - 24$

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

$- 3 y = - 24 - 2 x$

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

Divide each term in $- 3 y = - 24 - 2 x$ by $- 3$ and simplify.

Divide each term in $- 3 y = - 24 - 2 x$ by $- 3$ .

$\frac{- 3 y}{- 3} = \frac{- 24}{- 3} + \frac{- 2 x}{- 3}$

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

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 y}{- 3} = \frac{- 24}{- 3} + \frac{- 2 x}{- 3}$

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

Divide $y$ by $1$ .

$y = \frac{- 24}{- 3} + \frac{- 2 x}{- 3}$

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

$y = \frac{- 24}{- 3} + \frac{- 2 x}{- 3}$

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

$y = \frac{- 24}{- 3} + \frac{- 2 x}{- 3}$

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

Simplify the right side.

Simplify each term.

Divide $- 24$ by $- 3$ .

$y = 8 + \frac{- 2 x}{- 3}$

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

Dividing two negative values results in a positive value.

$y = 8 + \frac{2 x}{3}$

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

$y = 8 + \frac{2 x}{3}$

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

$y = 8 + \frac{2 x}{3}$

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

$y = 8 + \frac{2 x}{3}$

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

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

$(- 6, 4)$