Solve a=1/2(b-c)

$$a = \frac { 1 } { 2 } ( b - c )$$

Solve for b

$$b=2a+c$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by b-c.

$$a=\frac{1}{2}b-\frac{1}{2}c$$

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

$$\frac{1}{2}b-\frac{1}{2}c=a$$

Add \frac{1}{2}c to both sides.

$$\frac{1}{2}b=a+\frac{1}{2}c$$

The equation is in standard form.

$$\frac{1}{2}b=\frac{c}{2}+a$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}b}{\frac{1}{2}}=\frac{\frac{c}{2}+a}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$b=\frac{\frac{c}{2}+a}{\frac{1}{2}}$$

Divide a+\frac{c}{2} by \frac{1}{2} by multiplying a+\frac{c}{2} by the reciprocal of \frac{1}{2}.

$$b=2a+c$$

Solve for a

$$a=\frac{b-c}{2}$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by b-c.

$$a=\frac{1}{2}b-\frac{1}{2}c$$