Solve by Graphing -5x-3y=3 y-4x=33

$- 5 x - 3 y = 3$ $y - 4 x = 33$

Step 1

Add $5 x$ to both sides of the equation.

$- 3 y = 3 + 5 x$

$y - 4 x = 33$

Step 2

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

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

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

$y - 4 x = 33$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

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

$y - 4 x = 33$

Divide $y$ by $1$ .

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

$y - 4 x = 33$

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

$y - 4 x = 33$

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

$y - 4 x = 33$

Simplify the right side.

Simplify each term.

Divide $3$ by $- 3$ .

$y = - 1 + \frac{5 x}{- 3}$

$y - 4 x = 33$

Move the negative in front of the fraction.

$y = - 1 - \frac{5 x}{3}$

$y - 4 x = 33$

$y = - 1 - \frac{5 x}{3}$

$y - 4 x = 33$

$y = - 1 - \frac{5 x}{3}$

$y - 4 x = 33$

$y = - 1 - \frac{5 x}{3}$

$y - 4 x = 33$

Step 3

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

$y = 33 + 4 x$

$y = - 1 - \frac{5 x}{3}$

Step 4

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

$(- 6, 9)$

Step 5