Solve for y x/y=h-k

$\frac{x}{y} = h - k$

Step 1

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$y, 1, 1$

The LCM of one and any expression is the expression.

$y$

Step 2

Multiply each term in $\frac{x}{y} = h - k$ by $y$ to eliminate the fractions.

Multiply each term in $\frac{x}{y} = h - k$ by $y$ .

$\frac{x}{y} y = h y - k y$

Simplify the left side.

Cancel the common factor of $y$ .

Cancel the common factor.

$\frac{x}{y} y = h y - k y$

Rewrite the expression.

$x = h y - k y$

Step 3

Solve the equation.

Rewrite the equation as $h y - k y = x$ .

$h y - k y = x$

Factor $y$ out of $h y - k y$ .

Factor $y$ out of $h y$ .

$y h - k y = x$

Factor $y$ out of $- k y$ .

$y h + y (- k) = x$

Factor $y$ out of $y h + y (- k)$ .

$y (h - k) = x$

Divide each term in $y (h - k) = x$ by $h - k$ and simplify.

Divide each term in $y (h - k) = x$ by $h - k$ .

$\frac{y (h - k)}{h - k} = \frac{x}{h - k}$

Simplify the left side.

Cancel the common factor of $h - k$ .

Cancel the common factor.

$\frac{y (h - k)}{h - k} = \frac{x}{h - k}$

Divide $y$ by $1$ .

$y = \frac{x}{h - k}$