Solve x=-12/7y+3/5

$$x = \frac { - 12 } { 7 } y + \frac { 3 } { 5 }$$

Solve for y

$$y=-\frac{7x}{12}+\frac{7}{20}$$

Steps for Solving Linear Equation

Fraction \frac{-12}{7} can be rewritten as -\frac{12}{7} by extracting the negative sign.

$$x=-\frac{12}{7}y+\frac{3}{5}$$

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

$$-\frac{12}{7}y+\frac{3}{5}=x$$

Subtract \frac{3}{5} from both sides.

$$-\frac{12}{7}y=x-\frac{3}{5}$$

Divide both sides of the equation by -\frac{12}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-\frac{12}{7}y}{-\frac{12}{7}}=\frac{x-\frac{3}{5}}{-\frac{12}{7}}$$

Dividing by -\frac{12}{7} undoes the multiplication by -\frac{12}{7}.

$$y=\frac{x-\frac{3}{5}}{-\frac{12}{7}}$$

Divide x-\frac{3}{5} by -\frac{12}{7} by multiplying x-\frac{3}{5} by the reciprocal of -\frac{12}{7}.

$$y=-\frac{7x}{12}+\frac{7}{20}$$

Solve for x

$$x=-\frac{12y}{7}+\frac{3}{5}$$

Solution Steps

Fraction \frac{-12}{7} can be rewritten as -\frac{12}{7} by extracting the negative sign.

$$x=-\frac{12}{7}y+\frac{3}{5}$$