Solve 5(1/2)-4z=-1

$$5 ( \frac { 1 } { 2 } ) - 4 z = - 1$$

Solve for z

$$z=\frac{7}{8}=0.875$$

Steps for Solving Linear Equation

Multiply 5 and \frac{1}{2} to get \frac{5}{2}.

$$\frac{5}{2}-4z=-1$$

Subtract \frac{5}{2} from both sides.

$$-4z=-1-\frac{5}{2}$$

Convert -1 to fraction -\frac{2}{2}.

$$-4z=-\frac{2}{2}-\frac{5}{2}$$

Since -\frac{2}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

$$-4z=\frac{-2-5}{2}$$

Subtract 5 from -2 to get -7.

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

Divide both sides by -4.

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

Express \frac{-\frac{7}{2}}{-4} as a single fraction.

$$z=\frac{-7}{2\left(-4\right)}$$

Multiply 2 and -4 to get -8.

$$z=\frac{-7}{-8}$$

Fraction \frac{-7}{-8} can be simplified to \frac{7}{8} by removing the negative sign from both the numerator and the denominator.

$$z=\frac{7}{8}$$