Solve by Addition/Elimination 4x+2y=-8 3x-2y=22

$4 x + 2 y = - 8$ $3 x - 2 y = 22$

Step 1

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

	$4$	$x$	$+$	$2$	$y$	$=$	$-$	$8$
$+$	$3$	$x$	$-$	$2$	$y$	$=$	$2$	$2$
	$7$	$x$				$=$	$1$	$4$

Step 2

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 3

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 $y$ .

$4 (2) + 2 y = - 8$

Multiply $4$ by $2$ .

$8 + 2 y = - 8$

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

Subtract $8$ from both sides of the equation.

$2 y = - 8 - 8$

Subtract $8$ from $- 8$ .

$2 y = - 16$

Divide each term in $2 y = - 16$ by $2$ and simplify.

Divide each term in $2 y = - 16$ by $2$ .

$\frac{2 y}{2} = \frac{- 16}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{- 16}{2}$

Divide $y$ by $1$ .

$y = \frac{- 16}{2}$

Simplify the right side.

Divide $- 16$ by $2$ .

$y = - 8$

Step 4

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

$(2, - 8)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(2, - 8)$

Equation Form:

$x = 2, y = - 8$

Step 6

Solve by Addition/Elimination 4x+2y=-8 3x-2y=22

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