Home > PC3 > Chapter 10 > Lesson 10.1.2 > Problem10-36

10-36.

Consider the rational expression below.

$( \frac { 1 } { y } - \frac { x } { y } ) ( \frac { 1 } { x } + 1 )$

1. Set the expression equal to $10$ and solve for $y$.

$\left(\frac{1-x}{y}\right)\left(\frac{1+x}{x}\right)=10$

2. Set the expression equal to $0$ and solve the equation.

$\left(\frac{1-x}{y}\right)\left(\frac{1+x}{x}\right)=0$

$(1-x)(1+x)=0$

3. Rewrite the expression as a single fraction in simplified form.