Solve y=2/7x-4

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

Solve for x

$$x=\frac{7\left(y+4\right)}{2}$$

Steps for Solving Linear Equation

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

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

Add 4 to both sides.

$$\frac{2}{7}x=y+4$$

Divide both sides of the equation by \frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{7}x}{\frac{2}{7}}=\frac{y+4}{\frac{2}{7}}$$

Dividing by \frac{2}{7} undoes the multiplication by \frac{2}{7}.

$$x=\frac{y+4}{\frac{2}{7}}$$

Divide y+4 by \frac{2}{7} by multiplying y+4 by the reciprocal of \frac{2}{7}.

$$x=\frac{7y}{2}+14$$

Solve for y

$$y=\frac{2\left(x-14\right)}{7}$$