Solve by Addition/Elimination -2x-y=12 y=-26-9x

$- 2 x - y = 12$ $y = - 26 - 9 x$

Step 1

Simplify the right side.

Reorder $- 26$ and $- 9 x$ .

$y = - 9 x - 26$

$- 2 x - y = 12$

$y = - 9 x - 26$

$- 2 x - y = 12$

Step 2

Move all terms containing variables to the left side of the equation.

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

$y + 9 x = - 26$

$- 2 x - y = 12$

Reorder $y$ and $9 x$ .

$9 x + y = - 26$

$- 2 x - y = 12$

$9 x + y = - 26$

$- 2 x - y = 12$

Step 3

Add the two equations together to eliminate $y$ from the system.

	$-$	$2$	$x$	$-$	$y$	$=$		$1$	$2$
$+$		$9$	$x$	$+$	$y$	$=$	$-$	$2$	$6$
		$7$	$x$			$=$	$-$	$1$	$4$

Step 4

Divide each term in $7 x = - 14$ by $7$ and simplify.

Divide each term in $7 x = - 14$ by $7$ .

$\frac{7 x}{7} = \frac{- 14}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 x}{7} = \frac{- 14}{7}$

Divide $x$ by $1$ .

$x = \frac{- 14}{7}$

Simplify the right side.

Divide $- 14$ by $7$ .

$x = - 2$

Step 5

Substitute the value found for $x$ into one of the original equations, then solve for $y$ .

Substitute the value found for $x$ into one of the original equations to solve for $y$ .

$- 2 \cdot - 2 - y = 12$

Multiply $- 2$ by $- 2$ .

$4 - y = 12$

Move all terms not containing $y$ to the right side of the equation.

Subtract $4$ from both sides of the equation.

$- y = 12 - 4$

Subtract $4$ from $12$ .

$- y = 8$

Divide each term in $- y = 8$ by $- 1$ and simplify.

Divide each term in $- y = 8$ by $- 1$ .

$\frac{- y}{- 1} = \frac{8}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{8}{- 1}$

Divide $y$ by $1$ .

$y = \frac{8}{- 1}$

Simplify the right side.

Divide $8$ by $- 1$ .

$y = - 8$

Step 6

The solution to the independent system of equations can be represented as a point.

$(- 2, - 8)$

Step 7

The result can be shown in multiple forms.

Point Form:

$(- 2, - 8)$

Equation Form:

$x = - 2, y = - 8$

Step 8

Solve by Addition/Elimination -2x-y=12 y=-26-9x

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