Solve 4z+7(1/2)=11/2

$$4 z + 7 ( \frac { 1 } { 2 } ) = \frac { 11 } { 2 }$$

Solve for z

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

Steps for Solving Linear Equation

Multiply 7 and \frac{1}{2} to get \frac{7}{2}.

$$4z+\frac{7}{2}=\frac{11}{2}$$

Subtract \frac{7}{2} from both sides.

$$4z=\frac{11}{2}-\frac{7}{2}$$

Since \frac{11}{2} and \frac{7}{2} have the same denominator, subtract them by subtracting their numerators.

$$4z=\frac{11-7}{2}$$

Subtract 7 from 11 to get 4.

$$4z=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$4z=2$$

Divide both sides by 4.

$$z=\frac{2}{4}$$

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

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