Solve by Addition/Elimination x-2y=-14 y=-4x-2

$x - 2 y = - 14$ $y = - 4 x - 2$

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

Add $4 x$ to both sides of the equation.

$y + 4 x = - 2$

$x - 2 y = - 14$

Reorder $y$ and $4 x$ .

$4 x + y = - 2$

$x - 2 y = - 14$

$4 x + y = - 2$

$x - 2 y = - 14$

Multiply each equation by the value that makes the coefficients of $y$ opposite.

$x - 2 y = - 14$

$(2) \cdot (4 x + y) = (2) (- 2)$

Simplify.

Simplify the left side.

Simplify $(2) \cdot (4 x + y)$ .

Apply the distributive property.

$x - 2 y = - 14$

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

Multiply $4$ by $2$ .

$x - 2 y = - 14$

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

$x - 2 y = - 14$

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

$x - 2 y = - 14$

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

Simplify the right side.

Multiply $2$ by $- 2$ .

$x - 2 y = - 14$

$8 x + 2 y = - 4$

$x - 2 y = - 14$

$8 x + 2 y = - 4$

$x - 2 y = - 14$

$8 x + 2 y = - 4$

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

		$x$	$-$	$2$	$y$	$=$	$-$	$1$	$4$
$+$	$8$	$x$	$+$	$2$	$y$	$=$		$-$	$4$
	$9$	$x$				$=$	$-$	$1$	$8$

Divide each term in $9 x = - 18$ by $9$ and simplify.

Divide each term in $9 x = - 18$ by $9$ .

$\frac{9 x}{9} = \frac{- 18}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} = \frac{- 18}{9}$

Divide $x$ by $1$ .

$x = \frac{- 18}{9}$

Simplify the right side.

Divide $- 18$ by $9$ .

$x = - 2$

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 $y$ .

$(- 2) - 2 y = - 14$

Remove parentheses.

$- 2 - 2 y = - 14$

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

Add $2$ to both sides of the equation.

$- 2 y = - 14 + 2$

Add $- 14$ and $2$ .

$- 2 y = - 12$

Divide each term in $- 2 y = - 12$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 12$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 12}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 12}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 12}{- 2}$

Simplify the right side.

Divide $- 12$ by $- 2$ .

$y = 6$

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

$(- 2, 6)$

The result can be shown in multiple forms.

Point Form:

$(- 2, 6)$

Equation Form:

$x = - 2, y = 6$

Solve by Addition/Elimination x-2y=-14 y=-4x-2

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