Solve by Graphing 2x-4y=0 7x-6y=-24

$2 x - 4 y = 0$ $7 x - 6 y = - 24$

Step 1

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

$- 4 y = - 2 x$

$7 x - 6 y = - 24$

Step 2

Divide each term in $- 4 y = - 2 x$ by $- 4$ and simplify.

Divide each term in $- 4 y = - 2 x$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{- 2 x}{- 4}$

$7 x - 6 y = - 24$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{- 2 x}{- 4}$

$7 x - 6 y = - 24$

Divide $y$ by $1$ .

$y = \frac{- 2 x}{- 4}$

$7 x - 6 y = - 24$

$y = \frac{- 2 x}{- 4}$

$7 x - 6 y = - 24$

$y = \frac{- 2 x}{- 4}$

$7 x - 6 y = - 24$

Simplify the right side.

Cancel the common factor of $- 2$ and $- 4$ .

Factor $- 2$ out of $- 2 x$ .

$y = \frac{- 2 x}{- 4}$

$7 x - 6 y = - 24$

Cancel the common factors.

Factor $- 2$ out of $- 4$ .

$y = \frac{- 2 x}{- 2 \cdot 2}$

$7 x - 6 y = - 24$

Cancel the common factor.

$y = \frac{- 2 x}{- 2 \cdot 2}$

$7 x - 6 y = - 24$

Rewrite the expression.

$y = \frac{x}{2}$

$7 x - 6 y = - 24$

$y = \frac{x}{2}$

$7 x - 6 y = - 24$

$y = \frac{x}{2}$

$7 x - 6 y = - 24$

$y = \frac{x}{2}$

$7 x - 6 y = - 24$

$y = \frac{x}{2}$

$7 x - 6 y = - 24$

Step 3

Subtract $7 x$ from both sides of the equation.

$- 6 y = - 24 - 7 x$

$y = \frac{x}{2}$

Step 4

Divide each term in $- 6 y = - 24 - 7 x$ by $- 6$ and simplify.

Divide each term in $- 6 y = - 24 - 7 x$ by $- 6$ .

$\frac{- 6 y}{- 6} = \frac{- 24}{- 6} + \frac{- 7 x}{- 6}$

$y = \frac{x}{2}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 y}{- 6} = \frac{- 24}{- 6} + \frac{- 7 x}{- 6}$

$y = \frac{x}{2}$

Divide $y$ by $1$ .

$y = \frac{- 24}{- 6} + \frac{- 7 x}{- 6}$

$y = \frac{x}{2}$

$y = \frac{- 24}{- 6} + \frac{- 7 x}{- 6}$

$y = \frac{x}{2}$

$y = \frac{- 24}{- 6} + \frac{- 7 x}{- 6}$

$y = \frac{x}{2}$

Simplify the right side.

Simplify each term.

Divide $- 24$ by $- 6$ .

$y = 4 + \frac{- 7 x}{- 6}$

$y = \frac{x}{2}$

Dividing two negative values results in a positive value.

$y = 4 + \frac{7 x}{6}$

$y = \frac{x}{2}$

$y = 4 + \frac{7 x}{6}$

$y = \frac{x}{2}$

$y = 4 + \frac{7 x}{6}$

$y = \frac{x}{2}$

$y = 4 + \frac{7 x}{6}$

$y = \frac{x}{2}$

Step 5

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

$(- 6, - 3)$

Step 6

Solve by Graphing 2x-4y=0 7x-6y=-24

Related Questions

Support LCMGCF.com by disabling your adblocker.