Solve x=3y+14/2

$$x = \frac { 3 y + 14 } { 2 }$$

Solve for y

$$y=\frac{2\left(x-7\right)}{3}$$

Steps for Solving Linear Equation

Divide each term of 3y+14 by 2 to get \frac{3}{2}y+7.

$$x=\frac{3}{2}y+7$$

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

$$\frac{3}{2}y+7=x$$

Subtract 7 from both sides.

$$\frac{3}{2}y=x-7$$

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{2}y}{\frac{3}{2}}=\frac{x-7}{\frac{3}{2}}$$

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

$$y=\frac{x-7}{\frac{3}{2}}$$

Divide x-7 by \frac{3}{2} by multiplying x-7 by the reciprocal of \frac{3}{2}.

$$y=\frac{2x-14}{3}$$

Solve for x

$$x=\frac{3y}{2}+7$$

Solution Steps

Divide each term of 3y+14 by 2 to get \frac{3}{2}y+7.

$$x=\frac{3}{2}y+7$$