Solve {l}{-4z-4w=-8}{4w=12}

$$\left. \begin{array}{l}{ - 4 z - 4 w = - 8 }\\{ 4 w = 12 }\end{array} \right.$$

Solve for z, w

$$z=-1$$

$$w=3$$

Solution Steps

Consider the second equation. Divide both sides by 4.

$$w=\frac{12}{4}$$

Divide 12 by 4 to get 3.

$$w=3$$

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

$$-4z-4\times 3=-8$$

Multiply -4 and 3 to get -12.

$$-4z-12=-8$$

Add 12 to both sides.

$$-4z=-8+12$$

Add -8 and 12 to get 4.

$$-4z=4$$

Divide both sides by -4.

$$z=\frac{4}{-4}$$

Divide 4 by -4 to get -1.

$$z=-1$$

The system is now solved.

$$z=-1 w=3$$