Solve {l}{text{7)}m-9=-13}{text{9)}v-15=-27}{text{1)}-104=8x}{text{13)}-6=b/18}

$$\left. \begin{array} { l } { \text { 7) } m - 9 = - 13 } \\ { \text { 9) } v - 15 = - 27 } \\ { \text { 1) } - 104 = 8 x } \\ { \text { 13) } - 6 = \frac { b } { 18 } } \end{array} \right.$$

Solve for m, v, x, b

$$x=-13$$

$$m=-4$$

$$v=-12$$

$$b=-108$$

Solution Steps

Consider the first equation. Add 9 to both sides.

$$m=-13+9$$

Add -13 and 9 to get -4.

$$m=-4$$

Consider the second equation. Add 15 to both sides.

$$v=-27+15$$

Add -27 and 15 to get -12.

$$v=-12$$

Consider the third equation. Divide both sides by 8.

$$\frac{-104}{8}=x$$

Divide -104 by 8 to get -13.

$$-13=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=-13$$

Consider the fourth equation. Multiply both sides by 18.

$$-6\times 18=b$$

Multiply -6 and 18 to get -108.

$$-108=b$$

Swap sides so that all variable terms are on the left hand side.

$$b=-108$$

The system is now solved.

$$m=-4 v=-12 x=-13 b=-108$$