Solve 1/2a+b=c

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

Solve for a

$$a=2\left(c-b\right)$$

Steps for Solving Linear Equation

Subtract b from both sides.

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

Multiply both sides by 2.

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

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

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

Divide c-b by \frac{1}{2} by multiplying c-b by the reciprocal of \frac{1}{2}.

$$a=2c-2b$$

Solve for b

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

Solution Steps

Subtract \frac{1}{2}a from both sides.

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