Solve {c}{V=25-3a}{60=25*3-9/2a}

$$\left. \begin{array} { c } { V = 25 - 3 a } \\ { 60 = 25 \cdot 3 - \frac { 9 } { 2 } a } \end{array} \right.$$

Solve for V, a

$$V=15$$

$$a = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Solution Steps

Consider the second equation. Multiply 25 and 3 to get 75.

$$60=75-\frac{9}{2}a$$

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

$$75-\frac{9}{2}a=60$$

Subtract 75 from both sides.

$$-\frac{9}{2}a=60-75$$

Subtract 75 from 60 to get -15.

$$-\frac{9}{2}a=-15$$

Multiply both sides by -\frac{2}{9}, the reciprocal of -\frac{9}{2}.

$$a=-15\left(-\frac{2}{9}\right)$$

Multiply -15 and -\frac{2}{9} to get \frac{10}{3}.

$$a=\frac{10}{3}$$

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

$$V=25-3\times \frac{10}{3}$$

Multiply -3 and \frac{10}{3} to get -10.

$$V=25-10$$

Subtract 10 from 25 to get 15.

$$V=15$$

The system is now solved.

$$V=15 a=\frac{10}{3}$$