Solve {l}{2a=-6a-64}{2x=5x-6}

$$\left. \begin{array} { l } { 2 a = - 6 a - 64 } \\ { 2 x = 5 x - 6 } \end{array} \right.$$

Solve for a, x

$$x=2$$

$$a=-8$$

Solution Steps

Consider the first equation. Add 6a to both sides.

$$2a+6a=-64$$

Combine 2a and 6a to get 8a.

$$8a=-64$$

Divide both sides by 8.

$$a=\frac{-64}{8}$$

Divide -64 by 8 to get -8.

$$a=-8$$

Consider the second equation. Subtract 5x from both sides.

$$2x-5x=-6$$

Combine 2x and -5x to get -3x.

$$-3x=-6$$

Divide both sides by -3.

$$x=\frac{-6}{-3}$$

Divide -6 by -3 to get 2.

$$x=2$$

The system is now solved.

$$a=-8 x=2$$