Solve y=2/4*x/5

$$y = \frac { 2 } { 4 } \cdot \frac { x } { 5 }$$

Solve for x

$$x=10y$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$y=\frac{1}{2}\times \frac{x}{5}$$

Multiply \frac{1}{2} times \frac{x}{5} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{x}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$y=\frac{x}{10}$$

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

$$\frac{x}{10}=y$$

The equation is in standard form.

$$\frac{1}{10}x=y$$

Multiply both sides by 10.

$$\frac{\frac{1}{10}x}{\frac{1}{10}}=\frac{y}{\frac{1}{10}}$$

Dividing by \frac{1}{10} undoes the multiplication by \frac{1}{10}.

$$x=\frac{y}{\frac{1}{10}}$$

Divide y by \frac{1}{10} by multiplying y by the reciprocal of \frac{1}{10}.

$$x=10y$$

Solve for y

$$y=\frac{x}{10}$$