Solve y=-5x+48/9

$$y = \frac { - 5 x + 48 } { 9 }$$

Solve for x

$$x=\frac{48-9y}{5}$$

Steps for Solving Linear Equation

Divide each term of -5x+48 by 9 to get -\frac{5}{9}x+\frac{16}{3}.

$$y=-\frac{5}{9}x+\frac{16}{3}$$

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

$$-\frac{5}{9}x+\frac{16}{3}=y$$

Subtract \frac{16}{3} from both sides.

$$-\frac{5}{9}x=y-\frac{16}{3}$$

Divide both sides of the equation by -\frac{5}{9}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{5}{9}x}{-\frac{5}{9}}=\frac{y-\frac{16}{3}}{-\frac{5}{9}}$$

Dividing by -\frac{5}{9} undoes the multiplication by -\frac{5}{9}.

$$x=\frac{y-\frac{16}{3}}{-\frac{5}{9}}$$

Divide y-\frac{16}{3} by -\frac{5}{9} by multiplying y-\frac{16}{3} by the reciprocal of -\frac{5}{9}.

$$x=\frac{48-9y}{5}$$

Solve for y

$$y=-\frac{5x}{9}+\frac{16}{3}$$

Solution Steps

Divide each term of -5x+48 by 9 to get -\frac{5}{9}x+\frac{16}{3}.

$$y=-\frac{5}{9}x+\frac{16}{3}$$