Solve x-5.5/2.5=y

$$\frac { x - 5.5 } { 2.5 } = y$$

Solve for x

$$x=\frac{5y+11}{2}$$

Steps for Solving Linear Equation

Divide each term of x-5.5 by 2.5 to get \frac{x}{2.5}+\frac{-5.5}{2.5}.

$$\frac{x}{2.5}+\frac{-5.5}{2.5}=y$$

Expand \frac{-5.5}{2.5} by multiplying both numerator and the denominator by 10.

$$\frac{x}{2.5}+\frac{-55}{25}=y$$

Reduce the fraction \frac{-55}{25} to lowest terms by extracting and canceling out 5.

$$\frac{x}{2.5}-\frac{11}{5}=y$$

Add \frac{11}{5} to both sides.

$$\frac{x}{2.5}=y+\frac{11}{5}$$

The equation is in standard form.

$$\frac{2}{5}x=y+\frac{11}{5}$$

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

$$\frac{\frac{2}{5}x}{\frac{2}{5}}=\frac{y+\frac{11}{5}}{\frac{2}{5}}$$

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

$$x=\frac{y+\frac{11}{5}}{\frac{2}{5}}$$

Divide y+\frac{11}{5} by \frac{2}{5} by multiplying y+\frac{11}{5} by the reciprocal of \frac{2}{5}.

$$x=\frac{5y+11}{2}$$

Solve for y

$$y=\frac{2x-11}{5}$$