Solve 15/4-7u=9

$$\frac { 15 } { 4 } - 7 u = 9$$

Solve for u

$$u=-\frac{3}{4}=-0.75$$

Steps for Solving Linear Equation

Subtract \frac{15}{4} from both sides.

$$-7u=9-\frac{15}{4}$$

Convert 9 to fraction \frac{36}{4}.

$$-7u=\frac{36}{4}-\frac{15}{4}$$

Since \frac{36}{4} and \frac{15}{4} have the same denominator, subtract them by subtracting their numerators.

$$-7u=\frac{36-15}{4}$$

Subtract 15 from 36 to get 21.

$$-7u=\frac{21}{4}$$

Divide both sides by -7.

$$u=\frac{\frac{21}{4}}{-7}$$

Express \frac{\frac{21}{4}}{-7} as a single fraction.

$$u=\frac{21}{4\left(-7\right)}$$

Multiply 4 and -7 to get -28.

$$u=\frac{21}{-28}$$

Reduce the fraction \frac{21}{-28} to lowest terms by extracting and canceling out 7.

$$u=-\frac{3}{4}$$