Solve y-3=3/2(x-2)

$$y - 3 = 3 / 2 ( x - 2 )$$

Solve for x

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

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{2} by x-2.

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

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

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

Add 3 to both sides.

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

Add -3 and 3 to get 0.

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

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

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

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

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

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

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

Solve for y

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

Solution Steps

Use the distributive property to multiply \frac{3}{2} by x-2.

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

Add 3 to both sides.

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

Add -3 and 3 to get 0.

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