7.2 Rational equations

Suppose I tell you that $\frac{x}{\text{36}}=\frac{\text{15}}{\text{36}}$ . What are all the values $x$ can take that make this statement true?

Now suppose I tell you that $\frac{x}{\text{18}}=\frac{\text{15}}{\text{36}}$ . What are all the values $x$ can take that make this statement true?

$\frac{x^2+2}{\text{21}}=\frac{9}{7}$

$\frac{x+2}{x+3}=\frac{x+5}{x+4}$

$\frac{\mathrm{2x}+6}{x+3}=\frac{x+5}{\mathrm{2x}+7}$

$\frac{x+3}{\mathrm{2x}-3}=\frac{x-5}{x-4}$

• A

  Solve. You should end up with two answers.

• B

  Check both answers by plugging them into the original equation.