Solve y=5+1/3(x-3)

$$y = 5 + \frac { 1 } { 3 } ( x - 3 )$$

Solve for x

$$x=3\left(y-4\right)$$

Steps for Solving Linear Equation

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

$$y=5+\frac{1}{3}x-1$$

Subtract 1 from 5 to get 4.

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

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

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

Subtract 4 from both sides.

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

Multiply both sides by 3.

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

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

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

Divide y-4 by \frac{1}{3} by multiplying y-4 by the reciprocal of \frac{1}{3}.

$$x=3y-12$$

Solve for y

$$y=\frac{x+12}{3}$$

Solution Steps

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

$$y=5+\frac{1}{3}x-1$$

Subtract 1 from 5 to get 4.

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