Solve y=100-5x/6

$$y = \frac { 100 - 5 x } { 6 }$$

Solve for x

$$x=-\frac{6y}{5}+20$$

Steps for Solving Linear Equation

Divide each term of 100-5x by 6 to get \frac{50}{3}-\frac{5}{6}x.

$$y=\frac{50}{3}-\frac{5}{6}x$$

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

$$\frac{50}{3}-\frac{5}{6}x=y$$

Subtract \frac{50}{3} from both sides.

$$-\frac{5}{6}x=y-\frac{50}{3}$$

Divide both sides of the equation by -\frac{5}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{5}{6}x}{-\frac{5}{6}}=\frac{y-\frac{50}{3}}{-\frac{5}{6}}$$

Dividing by -\frac{5}{6} undoes the multiplication by -\frac{5}{6}.

$$x=\frac{y-\frac{50}{3}}{-\frac{5}{6}}$$

Divide y-\frac{50}{3} by -\frac{5}{6} by multiplying y-\frac{50}{3} by the reciprocal of -\frac{5}{6}.

$$x=-\frac{6y}{5}+20$$

Solve for y

$$y=-\frac{5x}{6}+\frac{50}{3}$$

Solution Steps

Divide each term of 100-5x by 6 to get \frac{50}{3}-\frac{5}{6}x.

$$y=\frac{50}{3}-\frac{5}{6}x$$