Solve a=7/2b+1

$$a = \frac { 7 } { 2 } b + 1$$

Solve for b

$$b=\frac{2\left(a-1\right)}{7}$$

Steps for Solving Linear Equation

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

$$\frac{7}{2}b+1=a$$

Subtract 1 from both sides.

$$\frac{7}{2}b=a-1$$

Divide both sides of the equation by \frac{7}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{7}{2}b}{\frac{7}{2}}=\frac{a-1}{\frac{7}{2}}$$

Dividing by \frac{7}{2} undoes the multiplication by \frac{7}{2}.

$$b=\frac{a-1}{\frac{7}{2}}$$

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

$$b=\frac{2a-2}{7}$$

Solve for a

$$a=\frac{7b}{2}+1$$