Solve 15-a=1/3a+1

$$15 - a = \frac { 1 } { 3 } a + 1$$

Solve for a

$$a = \frac{21}{2} = 10\frac{1}{2} = 10.5$$

Steps for Solving Linear Equation

Subtract \frac{1}{3}a from both sides.

$$15-a-\frac{1}{3}a=1$$

Combine -a and -\frac{1}{3}a to get -\frac{4}{3}a.

$$15-\frac{4}{3}a=1$$

Subtract 15 from both sides.

$$-\frac{4}{3}a=1-15$$

Subtract 15 from 1 to get -14.

$$-\frac{4}{3}a=-14$$

Multiply both sides by -\frac{3}{4}, the reciprocal of -\frac{4}{3}.

$$a=-14\left(-\frac{3}{4}\right)$$

Express -14\left(-\frac{3}{4}\right) as a single fraction.

$$a=\frac{-14\left(-3\right)}{4}$$

Multiply -14 and -3 to get 42.

$$a=\frac{42}{4}$$

Reduce the fraction \frac{42}{4} to lowest terms by extracting and canceling out 2.

$$a=\frac{21}{2}$$