Solve y+1/2z=7/2

$$y + \frac { 1 } { 2 } z = \frac { 7 } { 2 }$$

Solve for z

$$z=7-2y$$

Steps for Solving Linear Equation

Subtract y from both sides.

$$\frac{1}{2}z=\frac{7}{2}-y$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}z}{\frac{1}{2}}=\frac{\frac{7}{2}-y}{\frac{1}{2}}$$

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

$$z=\frac{\frac{7}{2}-y}{\frac{1}{2}}$$

Divide \frac{7}{2}-y by \frac{1}{2} by multiplying \frac{7}{2}-y by the reciprocal of \frac{1}{2}.

$$z=7-2y$$

Solve for y

$$y=\frac{7-z}{2}$$

Solution Steps

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

$$y=\frac{7}{2}-\frac{1}{2}z$$