Solve y=-2/5x+6

$$y = \frac { - 2 } { 5 } x + 6$$

Solve for x

$$x=-\frac{5y}{2}+15$$

Steps for Solving Linear Equation

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$y=-\frac{2}{5}x+6$$

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

$$-\frac{2}{5}x+6=y$$

Subtract 6 from both sides.

$$-\frac{2}{5}x=y-6$$

Divide both sides of the equation by -\frac{2}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{2}{5}x}{-\frac{2}{5}}=\frac{y-6}{-\frac{2}{5}}$$

Dividing by -\frac{2}{5} undoes the multiplication by -\frac{2}{5}.

$$x=\frac{y-6}{-\frac{2}{5}}$$

Divide y-6 by -\frac{2}{5} by multiplying y-6 by the reciprocal of -\frac{2}{5}.

$$x=-\frac{5y}{2}+15$$

Solve for y

$$y=-\frac{2x}{5}+6$$

Solution Steps

Fraction \frac{-2}{5} can be rewritten as -\frac{2}{5} by extracting the negative sign.

$$y=-\frac{2}{5}x+6$$