Solve the System of Equations x+y=-4 -2x-2y=6

$x + y = - 4$ $- 2 x - 2 y = 6$

Subtract $y$ from both sides of the equation.

$x = - 4 - y$

$- 2 x - 2 y = 6$

Replace all occurrences of $x$ with $- 4 - y$ in each equation.

Replace all occurrences of $x$ in $- 2 x - 2 y = 6$ with $- 4 - y$ .

$- 2 (- 4 - y) - 2 y = 6$

$x = - 4 - y$

Simplify the left side.

Simplify $- 2 (- 4 - y) - 2 y$ .

Simplify each term.

Apply the distributive property.

$- 2 \cdot - 4 - 2 (- y) - 2 y = 6$

$x = - 4 - y$

Multiply $- 2$ by $- 4$ .

$8 - 2 (- y) - 2 y = 6$

$x = - 4 - y$

Multiply $- 1$ by $- 2$ .

$8 + 2 y - 2 y = 6$

$x = - 4 - y$

$8 + 2 y - 2 y = 6$

$x = - 4 - y$

Combine the opposite terms in $8 + 2 y - 2 y$ .

Subtract $2 y$ from $2 y$ .

$8 + 0 = 6$

$x = - 4 - y$

Add $8$ and $0$ .

$8 = 6$

$x = - 4 - y$

$8 = 6$

$x = - 4 - y$

$8 = 6$

$x = - 4 - y$

$8 = 6$

$x = - 4 - y$

$8 = 6$

$x = - 4 - y$

Since $8 = 6$ is not true, there is no solution.

No solution

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