Solve y=7/2x+9

$$y = \frac { 7 } { 2 } x + 9$$

Solve for x

$$x=\frac{2\left(y-9\right)}{7}$$

Steps for Solving Linear Equation

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

$$\frac{7}{2}x+9=y$$

Subtract 9 from both sides.

$$\frac{7}{2}x=y-9$$

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

$$\frac{\frac{7}{2}x}{\frac{7}{2}}=\frac{y-9}{\frac{7}{2}}$$

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

$$x=\frac{y-9}{\frac{7}{2}}$$

Divide y-9 by \frac{7}{2} by multiplying y-9 by the reciprocal of \frac{7}{2}.

$$x=\frac{2y-18}{7}$$

Solve for y

$$y=\frac{7x}{2}+9$$