Solve v=9z-a/8

$$v = \frac { 9 z - a } { 8 }$$

Solve for a

$$a=9z-8v$$

Steps for Solving Linear Equation

Divide each term of 9z-a by 8 to get \frac{9}{8}z-\frac{1}{8}a.

$$v=\frac{9}{8}z-\frac{1}{8}a$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{9}{8}z-\frac{1}{8}a=v$$

Subtract \frac{9}{8}z from both sides.

$$-\frac{1}{8}a=v-\frac{9}{8}z$$

The equation is in standard form.

$$-\frac{1}{8}a=-\frac{9z}{8}+v$$

Multiply both sides by -8.

$$\frac{-\frac{1}{8}a}{-\frac{1}{8}}=\frac{-\frac{9z}{8}+v}{-\frac{1}{8}}$$

Dividing by -\frac{1}{8} undoes the multiplication by -\frac{1}{8}.

$$a=\frac{-\frac{9z}{8}+v}{-\frac{1}{8}}$$

Divide v-\frac{9z}{8} by -\frac{1}{8} by multiplying v-\frac{9z}{8} by the reciprocal of -\frac{1}{8}.

$$a=9z-8v$$

Solve for v

$$v=\frac{9z-a}{8}$$

Solution Steps

Divide each term of 9z-a by 8 to get \frac{9}{8}z-\frac{1}{8}a.

$$v=\frac{9}{8}z-\frac{1}{8}a$$