Solve x+1/2y=9/2

$$x+ \frac{ 1 }{ 2 } y= \frac{ 9 }{ 2 }$$

Solve for y

$$y=9-2x$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$\frac{1}{2}y=\frac{9}{2}-x$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}y}{\frac{1}{2}}=\frac{\frac{9}{2}-x}{\frac{1}{2}}$$

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

$$y=\frac{\frac{9}{2}-x}{\frac{1}{2}}$$

Divide \frac{9}{2}-x by \frac{1}{2} by multiplying \frac{9}{2}-x by the reciprocal of \frac{1}{2}.

$$y=9-2x$$

Solve for x

$$x=\frac{9-y}{2}$$

Solution Steps

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

$$x=\frac{9}{2}-\frac{1}{2}y$$