Solve 7m+19/2=13

$$7 m + \frac { 19 } { 2 } = 13$$

Solve for m

$$m=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

Subtract \frac{19}{2} from both sides.

$$7m=13-\frac{19}{2}$$

Convert 13 to fraction \frac{26}{2}.

$$7m=\frac{26}{2}-\frac{19}{2}$$

Since \frac{26}{2} and \frac{19}{2} have the same denominator, subtract them by subtracting their numerators.

$$7m=\frac{26-19}{2}$$

Subtract 19 from 26 to get 7.

$$7m=\frac{7}{2}$$

Divide both sides by 7.

$$m=\frac{\frac{7}{2}}{7}$$

Express \frac{\frac{7}{2}}{7} as a single fraction.

$$m=\frac{7}{2\times 7}$$

Cancel out 7 in both numerator and denominator.

$$m=\frac{1}{2}$$