Solve by Graphing 7x+2y=-6 6x-7y=21

$7 x + 2 y = - 6$ $6 x - 7 y = 21$

Step 1

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

$2 y = - 6 - 7 x$

$6 x - 7 y = 21$

Step 2

Divide each term in $2 y = - 6 - 7 x$ by $2$ and simplify.

Divide each term in $2 y = - 6 - 7 x$ by $2$ .

$\frac{2 y}{2} = \frac{- 6}{2} + \frac{- 7 x}{2}$

$6 x - 7 y = 21$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 6}{2} + \frac{- 7 x}{2}$

$6 x - 7 y = 21$

Divide $y$ by $1$ .

$y = \frac{- 6}{2} + \frac{- 7 x}{2}$

$6 x - 7 y = 21$

$y = \frac{- 6}{2} + \frac{- 7 x}{2}$

$6 x - 7 y = 21$

$y = \frac{- 6}{2} + \frac{- 7 x}{2}$

$6 x - 7 y = 21$

Simplify the right side.

Simplify each term.

Divide $- 6$ by $2$ .

$y = - 3 + \frac{- 7 x}{2}$

$6 x - 7 y = 21$

Move the negative in front of the fraction.

$y = - 3 - \frac{7 x}{2}$

$6 x - 7 y = 21$

$y = - 3 - \frac{7 x}{2}$

$6 x - 7 y = 21$

$y = - 3 - \frac{7 x}{2}$

$6 x - 7 y = 21$

$y = - 3 - \frac{7 x}{2}$

$6 x - 7 y = 21$

Step 3

Subtract $6 x$ from both sides of the equation.

$- 7 y = 21 - 6 x$

$y = - 3 - \frac{7 x}{2}$

Step 4

Divide each term in $- 7 y = 21 - 6 x$ by $- 7$ and simplify.

Divide each term in $- 7 y = 21 - 6 x$ by $- 7$ .

$\frac{- 7 y}{- 7} = \frac{21}{- 7} + \frac{- 6 x}{- 7}$

$y = - 3 - \frac{7 x}{2}$

Simplify the left side.

Cancel the common factor of $- 7$ .

Cancel the common factor.

$\frac{- 7 y}{- 7} = \frac{21}{- 7} + \frac{- 6 x}{- 7}$

$y = - 3 - \frac{7 x}{2}$

Divide $y$ by $1$ .

$y = \frac{21}{- 7} + \frac{- 6 x}{- 7}$

$y = - 3 - \frac{7 x}{2}$

$y = \frac{21}{- 7} + \frac{- 6 x}{- 7}$

$y = - 3 - \frac{7 x}{2}$

$y = \frac{21}{- 7} + \frac{- 6 x}{- 7}$

$y = - 3 - \frac{7 x}{2}$

Simplify the right side.

Simplify each term.

Divide $21$ by $- 7$ .

$y = - 3 + \frac{- 6 x}{- 7}$

$y = - 3 - \frac{7 x}{2}$

Dividing two negative values results in a positive value.

$y = - 3 + \frac{6 x}{7}$

$y = - 3 - \frac{7 x}{2}$

$y = - 3 + \frac{6 x}{7}$

$y = - 3 - \frac{7 x}{2}$

$y = - 3 + \frac{6 x}{7}$

$y = - 3 - \frac{7 x}{2}$

$y = - 3 + \frac{6 x}{7}$

$y = - 3 - \frac{7 x}{2}$

Step 5

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

$(0, - 3)$

Step 6

Solve by Graphing 7x+2y=-6 6x-7y=21

Related Questions

Support LCMGCF.com by disabling your adblocker.