Solve {l}{2x+4y=-4}{2x+4=8}

$$\left. \begin{array} { l } { 2 x + 4 y = - 4 } \\ { 2 x + 4 = 8 } \end{array} \right.$$

Solve for x, y

$$x=2$$

$$y=-2$$

Solution Steps

Consider the second equation. Subtract 4 from both sides.

$$2x=8-4$$

Subtract 4 from 8 to get 4.

$$2x=4$$

Divide both sides by 2.

$$x=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$x=2$$

Consider the first equation. Insert the known values of variables into the equation.

$$2\times 2+4y=-4$$

Multiply 2 and 2 to get 4.

$$4+4y=-4$$

Subtract 4 from both sides.

$$4y=-4-4$$

Subtract 4 from -4 to get -8.

$$4y=-8$$

Divide both sides by 4.

$$y=\frac{-8}{4}$$

Divide -8 by 4 to get -2.

$$y=-2$$

The system is now solved.

$$x=2 y=-2$$