Solve by Graphing -2x+y=5 , 5y=7x+4

$- 2 x + y = 5$ , $5 y = 7 x + 4$

Step 1

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

$y = 5 + 2 x$

$5 y = 7 x + 4$

Step 2

Divide each term in $5 y = 7 x + 4$ by $5$ and simplify.

Divide each term in $5 y = 7 x + 4$ by $5$ .

$\frac{5 y}{5} = \frac{7 x}{5} + \frac{4}{5}$

$y = 5 + 2 x$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{7 x}{5} + \frac{4}{5}$

$y = 5 + 2 x$

Divide $y$ by $1$ .

$y = \frac{7 x}{5} + \frac{4}{5}$

$y = 5 + 2 x$

$y = \frac{7 x}{5} + \frac{4}{5}$

$y = 5 + 2 x$

$y = \frac{7 x}{5} + \frac{4}{5}$

$y = 5 + 2 x$

$y = \frac{7 x}{5} + \frac{4}{5}$

$y = 5 + 2 x$

Step 3

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

$(- 7, - 9)$

Step 4

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