Solve -3Z+1/2=17

$$- 3 Z + \frac { 1 } { 2 } = 17$$

Solve for Z

$$Z = -\frac{11}{2} = -5\frac{1}{2} = -5.5$$

Steps for Solving Linear Equation

Subtract \frac{1}{2} from both sides.

$$-3Z=17-\frac{1}{2}$$

Convert 17 to fraction \frac{34}{2}.

$$-3Z=\frac{34}{2}-\frac{1}{2}$$

Since \frac{34}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$-3Z=\frac{34-1}{2}$$

Subtract 1 from 34 to get 33.

$$-3Z=\frac{33}{2}$$

Divide both sides by -3.

$$Z=\frac{\frac{33}{2}}{-3}$$

Express \frac{\frac{33}{2}}{-3} as a single fraction.

$$Z=\frac{33}{2\left(-3\right)}$$

Multiply 2 and -3 to get -6.

$$Z=\frac{33}{-6}$$

Reduce the fraction \frac{33}{-6} to lowest terms by extracting and canceling out 3.

$$Z=-\frac{11}{2}$$