Solve y=5/-3x+5/3

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

Solve for x

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

Steps for Solving Linear Equation

Fraction \frac{5}{-3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

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

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

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

Subtract \frac{5}{3} from both sides.

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

Divide both sides of the equation by -\frac{5}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by -\frac{5}{3} undoes the multiplication by -\frac{5}{3}.

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

Divide y-\frac{5}{3} by -\frac{5}{3} by multiplying y-\frac{5}{3} by the reciprocal of -\frac{5}{3}.

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

Solve for y

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

Solution Steps

Fraction \frac{5}{-3} can be rewritten as -\frac{5}{3} by extracting the negative sign.

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