Solve for y 10x-5xy=100

$10 x - 5 x y = 100$

Subtract $10 x$ from both sides of the equation.

$- 5 x y = 100 - 10 x$

Divide each term in $- 5 x y = 100 - 10 x$ by $- 5 x$ and simplify.

Divide each term in $- 5 x y = 100 - 10 x$ by $- 5 x$ .

$\frac{- 5 x y}{- 5 x} = \frac{100}{- 5 x} + \frac{- 10 x}{- 5 x}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 x y}{- 5 x} = \frac{100}{- 5 x} + \frac{- 10 x}{- 5 x}$

Rewrite the expression.

$\frac{x y}{x} = \frac{100}{- 5 x} + \frac{- 10 x}{- 5 x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{x y}{x} = \frac{100}{- 5 x} + \frac{- 10 x}{- 5 x}$

Divide $y$ by $1$ .

$y = \frac{100}{- 5 x} + \frac{- 10 x}{- 5 x}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $100$ and $- 5$ .

Factor $5$ out of $100$ .

$y = \frac{5 (20)}{- 5 x} + \frac{- 10 x}{- 5 x}$

Cancel the common factors.

Factor $5$ out of $- 5 x$ .

$y = \frac{5 (20)}{5 (- x)} + \frac{- 10 x}{- 5 x}$

Cancel the common factor.

$y = \frac{5 \cdot 20}{5 (- x)} + \frac{- 10 x}{- 5 x}$

Rewrite the expression.

$y = \frac{20}{- x} + \frac{- 10 x}{- 5 x}$

Move the negative in front of the fraction.

$y = - \frac{20}{x} + \frac{- 10 x}{- 5 x}$

Cancel the common factor of $- 10$ and $- 5$ .

Factor $- 5$ out of $- 10 x$ .

$y = - \frac{20}{x} + \frac{- 5 (2 x)}{- 5 x}$

Cancel the common factors.

Factor $- 5$ out of $- 5 x$ .

$y = - \frac{20}{x} + \frac{- 5 (2 x)}{- 5 (x)}$

Cancel the common factor.

$y = - \frac{20}{x} + \frac{- 5 (2 x)}{- 5 x}$

Rewrite the expression.

$y = - \frac{20}{x} + \frac{2 x}{x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$y = - \frac{20}{x} + \frac{2 x}{x}$

Divide $2$ by $1$ .

$y = - \frac{20}{x} + 2$

Solve for y 10x-5xy=100

Related Questions

Support LCMGCF.com by disabling your adblocker.