Solve by Graphing -9x+4y=8 -3x-y=4

$- 9 x + 4 y = 8$ $- 3 x - y = 4$

Step 1

Add $9 x$ to both sides of the equation.

$4 y = 8 + 9 x$

$- 3 x - y = 4$

Step 2

Divide each term in $4 y = 8 + 9 x$ by $4$ and simplify.

Divide each term in $4 y = 8 + 9 x$ by $4$ .

$\frac{4 y}{4} = \frac{8}{4} + \frac{9 x}{4}$

$- 3 x - y = 4$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{8}{4} + \frac{9 x}{4}$

$- 3 x - y = 4$

Divide $y$ by $1$ .

$y = \frac{8}{4} + \frac{9 x}{4}$

$- 3 x - y = 4$

$y = \frac{8}{4} + \frac{9 x}{4}$

$- 3 x - y = 4$

$y = \frac{8}{4} + \frac{9 x}{4}$

$- 3 x - y = 4$

Simplify the right side.

Divide $8$ by $4$ .

$y = 2 + \frac{9 x}{4}$

$- 3 x - y = 4$

$y = 2 + \frac{9 x}{4}$

$- 3 x - y = 4$

$y = 2 + \frac{9 x}{4}$

$- 3 x - y = 4$

Step 3

Add $3 x$ to both sides of the equation.

$- y = 4 + 3 x$

$y = 2 + \frac{9 x}{4}$

Step 4

Divide each term in $- y = 4 + 3 x$ by $- 1$ and simplify.

Divide each term in $- y = 4 + 3 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{4}{- 1} + \frac{3 x}{- 1}$

$y = 2 + \frac{9 x}{4}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{4}{- 1} + \frac{3 x}{- 1}$

$y = 2 + \frac{9 x}{4}$

Divide $y$ by $1$ .

$y = \frac{4}{- 1} + \frac{3 x}{- 1}$

$y = 2 + \frac{9 x}{4}$

$y = \frac{4}{- 1} + \frac{3 x}{- 1}$

$y = 2 + \frac{9 x}{4}$

Simplify the right side.

Simplify each term.

Divide $4$ by $- 1$ .

$y = - 4 + \frac{3 x}{- 1}$

$y = 2 + \frac{9 x}{4}$

Move the negative one from the denominator of $\frac{3 x}{- 1}$ .

$y = - 4 - 1 \cdot (3 x)$

$y = 2 + \frac{9 x}{4}$

Rewrite $- 1 \cdot (3 x)$ as $- (3 x)$ .

$y = - 4 - (3 x)$

$y = 2 + \frac{9 x}{4}$

Multiply $3$ by $- 1$ .

$y = - 4 - 3 x$

$y = 2 + \frac{9 x}{4}$

$y = - 4 - 3 x$

$y = 2 + \frac{9 x}{4}$

$y = - 4 - 3 x$

$y = 2 + \frac{9 x}{4}$

$y = - 4 - 3 x$

$y = 2 + \frac{9 x}{4}$

Step 5

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

$(- \frac{8}{7}, - \frac{4}{7})$

Step 6

Solve by Graphing -9x+4y=8 -3x-y=4

Related Questions

Support LCMGCF.com by disabling your adblocker.