Solve y-4=1/3(x-3)

$$y - 4 = \frac { 1 } { 3 } ( x - 3 )$$

Solve for x

$$x=3\left(y-3\right)$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{3} by x-3.

$$y-4=\frac{1}{3}x-1$$

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

$$\frac{1}{3}x-1=y-4$$

Add 1 to both sides.

$$\frac{1}{3}x=y-4+1$$

Add -4 and 1 to get -3.

$$\frac{1}{3}x=y-3$$

Multiply both sides by 3.

$$\frac{\frac{1}{3}x}{\frac{1}{3}}=\frac{y-3}{\frac{1}{3}}$$

Dividing by \frac{1}{3} undoes the multiplication by \frac{1}{3}.

$$x=\frac{y-3}{\frac{1}{3}}$$

Divide y-3 by \frac{1}{3} by multiplying y-3 by the reciprocal of \frac{1}{3}.

$$x=3y-9$$

Solve for y

$$y=\frac{x+9}{3}$$

Solution Steps

Use the distributive property to multiply \frac{1}{3} by x-3.

$$y-4=\frac{1}{3}x-1$$

Add 4 to both sides.

$$y=\frac{1}{3}x-1+4$$

Add -1 and 4 to get 3.

$$y=\frac{1}{3}x+3$$