Solve x+y/2=a

$$\frac { x + y } { 2 } = a$$

Solve for a

$$a=\frac{x+y}{2}$$

Solution Steps

Divide each term of x+y by 2 to get \frac{1}{2}x+\frac{1}{2}y.

$$\frac{1}{2}x+\frac{1}{2}y=a$$

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

$$a=\frac{1}{2}x+\frac{1}{2}y$$

Solve for x

$$x=-\left(y-2a\right)$$

Steps for Solving Linear Equation

Divide each term of x+y by 2 to get \frac{1}{2}x+\frac{1}{2}y.

$$\frac{1}{2}x+\frac{1}{2}y=a$$

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

$$\frac{1}{2}x=a-\frac{1}{2}y$$

The equation is in standard form.

$$\frac{1}{2}x=-\frac{y}{2}+a$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{-\frac{y}{2}+a}{\frac{1}{2}}$$

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

$$x=\frac{-\frac{y}{2}+a}{\frac{1}{2}}$$

Divide a-\frac{y}{2} by \frac{1}{2} by multiplying a-\frac{y}{2} by the reciprocal of \frac{1}{2}.

$$x=2a-y$$