Solve y=(4/7)*x-12/7+6

$$y = ( \frac { 4 } { 7 } ) \cdot x - \frac { 12 } { 7 } + 6$$

Solve for x

$$x=\frac{7y}{4}-\frac{15}{2}$$

Steps for Solving Linear Equation

Add -\frac{12}{7} and 6 to get \frac{30}{7}.

$$y=\frac{4}{7}x+\frac{30}{7}$$

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

$$\frac{4}{7}x+\frac{30}{7}=y$$

Subtract \frac{30}{7} from both sides.

$$\frac{4}{7}x=y-\frac{30}{7}$$

Divide both sides of the equation by \frac{4}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{4}{7}x}{\frac{4}{7}}=\frac{y-\frac{30}{7}}{\frac{4}{7}}$$

Dividing by \frac{4}{7} undoes the multiplication by \frac{4}{7}.

$$x=\frac{y-\frac{30}{7}}{\frac{4}{7}}$$

Divide y-\frac{30}{7} by \frac{4}{7} by multiplying y-\frac{30}{7} by the reciprocal of \frac{4}{7}.

$$x=\frac{7y}{4}-\frac{15}{2}$$

Solve for y

$$y=\frac{4x+30}{7}$$

Solution Steps

Add -\frac{12}{7} and 6 to get \frac{30}{7}.

$$y=\frac{4}{7}x+\frac{30}{7}$$