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

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

Solve for x

$$x=18-3y$$

Steps for Solving Linear Equation

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

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

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

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

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

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

Subtract 1 from both sides.

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

Subtract 1 from -5 to get -6.

$$-\frac{1}{3}x=y-6$$

Multiply both sides by -3.

$$\frac{-\frac{1}{3}x}{-\frac{1}{3}}=\frac{y-6}{-\frac{1}{3}}$$

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

$$x=\frac{y-6}{-\frac{1}{3}}$$

Divide y-6 by -\frac{1}{3} by multiplying y-6 by the reciprocal of -\frac{1}{3}.

$$x=18-3y$$

Solve for y

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

Solution Steps

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

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

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

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

Add 5 to both sides.

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

Add 1 and 5 to get 6.

$$y=-\frac{1}{3}x+6$$