Solve 35x+2/13=y

$$\frac { 35 x + 2 } { 13 } = y$$

Solve for x

$$x=\frac{13y-2}{35}$$

Steps for Solving Linear Equation

Divide each term of 35x+2 by 13 to get \frac{35}{13}x+\frac{2}{13}.

$$\frac{35}{13}x+\frac{2}{13}=y$$

Subtract \frac{2}{13} from both sides.

$$\frac{35}{13}x=y-\frac{2}{13}$$

Divide both sides of the equation by \frac{35}{13}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{35}{13}x}{\frac{35}{13}}=\frac{y-\frac{2}{13}}{\frac{35}{13}}$$

Dividing by \frac{35}{13} undoes the multiplication by \frac{35}{13}.

$$x=\frac{y-\frac{2}{13}}{\frac{35}{13}}$$

Divide y-\frac{2}{13} by \frac{35}{13} by multiplying y-\frac{2}{13} by the reciprocal of \frac{35}{13}.

$$x=\frac{13y-2}{35}$$

Solve for y

$$y=\frac{35x+2}{13}$$

Solution Steps

Divide each term of 35x+2 by 13 to get \frac{35}{13}x+\frac{2}{13}.

$$\frac{35}{13}x+\frac{2}{13}=y$$

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

$$y=\frac{35}{13}x+\frac{2}{13}$$