Solve by Graphing -5x+3y=51 y=10x-8

$- 5 x + 3 y = 51$ $y = 10 x - 8$

Step 1

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

$3 y = 51 + 5 x$

$y = 10 x - 8$

Step 2

Divide each term in $3 y = 51 + 5 x$ by $3$ and simplify.

Divide each term in $3 y = 51 + 5 x$ by $3$ .

$\frac{3 y}{3} = \frac{51}{3} + \frac{5 x}{3}$

$y = 10 x - 8$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{51}{3} + \frac{5 x}{3}$

$y = 10 x - 8$

Divide $y$ by $1$ .

$y = \frac{51}{3} + \frac{5 x}{3}$

$y = 10 x - 8$

$y = \frac{51}{3} + \frac{5 x}{3}$

$y = 10 x - 8$

$y = \frac{51}{3} + \frac{5 x}{3}$

$y = 10 x - 8$

Simplify the right side.

Divide $51$ by $3$ .

$y = 17 + \frac{5 x}{3}$

$y = 10 x - 8$

$y = 17 + \frac{5 x}{3}$

$y = 10 x - 8$

$y = 17 + \frac{5 x}{3}$

$y = 10 x - 8$

Step 3

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

$(3, 22)$

Step 4