Solve y-4=2/3x

$$y - 4 = 2 / 3 x$$

Solve for x

$$x=\frac{3\left(y-4\right)}{2}$$

Steps for Solving Linear Equation

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

$$\frac{2}{3}x=y-4$$

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

$$\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{y-4}{\frac{2}{3}}$$

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

$$x=\frac{y-4}{\frac{2}{3}}$$

Divide y-4 by \frac{2}{3} by multiplying y-4 by the reciprocal of \frac{2}{3}.

$$x=\frac{3y}{2}-6$$

Solve for y

$$y=\frac{2\left(x+6\right)}{3}$$

Solution Steps

Add 4 to both sides.

$$y=\frac{2}{3}x+4$$