Solve by Addition/Elimination 11x+4y=-46 7x-4y=10

$11 x + 4 y = - 46$ $7 x - 4 y = 10$

Step 1

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

	$1$	$1$	$x$	$+$	$4$	$y$	$=$	$-$	$4$	$6$
$+$		$7$	$x$	$-$	$4$	$y$	$=$		$1$	$0$
	$1$	$8$	$x$				$=$	$-$	$3$	$6$

Step 2

Divide each term in $18 x = - 36$ by $18$ and simplify.

Divide each term in $18 x = - 36$ by $18$ .

$\frac{18 x}{18} = \frac{- 36}{18}$

Simplify the left side.

Cancel the common factor of $18$ .

Cancel the common factor.

$\frac{18 x}{18} = \frac{- 36}{18}$

Divide $x$ by $1$ .

$x = \frac{- 36}{18}$

Simplify the right side.

Divide $- 36$ by $18$ .

$x = - 2$

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 $y$ .

$11 (- 2) + 4 y = - 46$

Multiply $11$ by $- 2$ .

$- 22 + 4 y = - 46$

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

Add $22$ to both sides of the equation.

$4 y = - 46 + 22$

Add $- 46$ and $22$ .

$4 y = - 24$

Divide each term in $4 y = - 24$ by $4$ and simplify.

Divide each term in $4 y = - 24$ by $4$ .

$\frac{4 y}{4} = \frac{- 24}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{- 24}{4}$

Divide $y$ by $1$ .

$y = \frac{- 24}{4}$

Simplify the right side.

Divide $- 24$ by $4$ .

$y = - 6$

Step 4

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

$(- 2, - 6)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 2, - 6)$

Equation Form:

$x = - 2, y = - 6$

Step 6

Solve by Addition/Elimination 11x+4y=-46 7x-4y=10

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