Solve for y x=2/5y

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

Step 1

Rewrite the equation as $\frac{2}{5} y = x$ .

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

Step 2

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} (\frac{2}{5} y) = \frac{5}{2} x$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{2} (\frac{2}{5} y)$ .

Combine $\frac{2}{5}$ and $y$ .

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

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{2} (2 y) = \frac{5}{2} x$

$\frac{1}{2} (2 y) = \frac{5}{2} x$

Cancel the common factor of $2$ .

Factor $2$ out of $2 y$ .

$\frac{1}{2} (2 (y)) = \frac{5}{2} x$

Cancel the common factor.

$\frac{1}{2} (2 y) = \frac{5}{2} x$

Rewrite the expression.

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

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

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

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

Simplify the right side.

Combine $\frac{5}{2}$ and $x$ .

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

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

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

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