Solving Rational Equations (by Cross Multiplication)

Solving Rational Equations (by Cross Multiplication)

(applicable only if the Rational Equation is a Proportion)

Multiple Choice

Which of the following examples of Rational Equations can be solved by cross multiplication?

• $\frac{x}{x-2}=\frac{3}{5}$

• $\frac{x}{x+1}\ -3x\ =\ \frac{2}{x-1}$

• $\frac{1}{x}+\frac{3}{2x\ }=\ \frac{1}{3x}$

• $x\ +\frac{2}{2x}=\frac{2}{x-3}$

Multiple Choice

Which of the following equation is correct after cross multiplication:

 $\frac{2}{x-3}=\frac{3}{x-2\ ?}$  

•  $3x\ =\ 2x\ -4$  

•  $3x\ -9\ =\ 2x\ -\ 4$  

•  $3x\ +4\ =\ 2x\ -9$  

•  $3x\ -3\ =\ x\ -2$  

Multiple Choice

Cross multiplication solves all type of rational equations?

• True

• False

Multiple Choice

Solve:

 $\frac{1}{x-3}=\ \frac{3}{x+5}$  

• x = 5

• x = -6

• x = 7

• x = 8

Multiple Choice

Solve:

 $\frac{x}{5}=\ \frac{x+2}{3}$  

• x = 1

• x = -2

• x = 3

• x = -5

Open Ended

What are your difficulties in solving rational equations by cross multiplication?