Solve the System of Equations 6x=-6y-30 -3x-3y=15

$6 x = - 6 y - 30$ $- 3 x - 3 y = 15$

Divide each term in $6 x = - 6 y - 30$ by $6$ and simplify.

Divide each term in $6 x = - 6 y - 30$ by $6$ .

$\frac{6 x}{6} = \frac{- 6 y}{6} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 x}{6} = \frac{- 6 y}{6} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

Divide $x$ by $1$ .

$x = \frac{- 6 y}{6} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

$x = \frac{- 6 y}{6} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

$x = \frac{- 6 y}{6} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

Simplify the right side.

Simplify each term.

Cancel the common factor of $- 6$ and $6$ .

Factor $6$ out of $- 6 y$ .

$x = \frac{6 (- y)}{6} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

Cancel the common factors.

Factor $6$ out of $6$ .

$x = \frac{6 (- y)}{6 (1)} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

Cancel the common factor.

$x = \frac{6 (- y)}{6 \cdot 1} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

Rewrite the expression.

$x = \frac{- y}{1} + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

Divide $- y$ by $1$ .

$x = - y + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

$x = - y + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

$x = - y + \frac{- 30}{6}$

$- 3 x - 3 y = 15$

Divide $- 30$ by $6$ .

$x = - y - 5$

$- 3 x - 3 y = 15$

$x = - y - 5$

$- 3 x - 3 y = 15$

$x = - y - 5$

$- 3 x - 3 y = 15$

$x = - y - 5$

$- 3 x - 3 y = 15$

Replace all occurrences of $x$ with $- y - 5$ in each equation.

Replace all occurrences of $x$ in $- 3 x - 3 y = 15$ with $- y - 5$ .

$- 3 (- y - 5) - 3 y = 15$

$x = - y - 5$

Simplify the left side.

Simplify $- 3 (- y - 5) - 3 y$ .

Simplify each term.

Apply the distributive property.

$- 3 (- y) - 3 \cdot - 5 - 3 y = 15$

$x = - y - 5$

Multiply $- 1$ by $- 3$ .

$3 y - 3 \cdot - 5 - 3 y = 15$

$x = - y - 5$

Multiply $- 3$ by $- 5$ .

$3 y + 15 - 3 y = 15$

$x = - y - 5$

$3 y + 15 - 3 y = 15$

$x = - y - 5$

Combine the opposite terms in $3 y + 15 - 3 y$ .

Subtract $3 y$ from $3 y$ .

$0 + 15 = 15$

$x = - y - 5$

Add $0$ and $15$ .

$15 = 15$

$x = - y - 5$

$15 = 15$

$x = - y - 5$

$15 = 15$

$x = - y - 5$

$15 = 15$

$x = - y - 5$

$15 = 15$

$x = - y - 5$

Remove any equations from the system that are always true.

$x = - y - 5$

Solve the System of Equations 6x=-6y-30 -3x-3y=15

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