Solve {l}{-2(1+8r)=94}{2(1+6x)=86}

$$\left. \begin{array} { l } { - 2 ( 1 + 8 r ) = 94 } \\ { 2 ( 1 + 6 x ) = 86 } \end{array} \right.$$

Solve for r, x

$$x=7$$

$$r=-6$$

Solution Steps

Consider the first equation. Divide both sides by -2.

$$1+8r=\frac{94}{-2}$$

Divide 94 by -2 to get -47.

$$1+8r=-47$$

Subtract 1 from both sides.

$$8r=-47-1$$

Subtract 1 from -47 to get -48.

$$8r=-48$$

Divide both sides by 8.

$$r=\frac{-48}{8}$$

Divide -48 by 8 to get -6.

$$r=-6$$

Consider the second equation. Divide both sides by 2.

$$1+6x=\frac{86}{2}$$

Divide 86 by 2 to get 43.

$$1+6x=43$$

Subtract 1 from both sides.

$$6x=43-1$$

Subtract 1 from 43 to get 42.

$$6x=42$$

Divide both sides by 6.

$$x=\frac{42}{6}$$

Divide 42 by 6 to get 7.

$$x=7$$

The system is now solved.

$$r=-6 x=7$$