Answer/Explanation:
First way:
Step 1: Cross-multiply.
- [tex]\frac{5}{x-3} = \frac{10}{x}[/tex]
- [tex]5 * x = 10 * (x-3)[/tex]
- [tex]5x = 10x - 30[/tex]
Step 2: Subtract 10x from both sides.
- [tex]5x - 10x = 10x - 30 - 10x[/tex]
- [tex]-5x = -30[/tex]
Step 3: Divide both sides by -5.
- [tex]\frac{-5x}{-5} = \frac{-30}{-5}[/tex]
- [tex]x = 6[/tex]
Second way:
1. [tex]\frac{5}{6-3} = \frac{10}{6}[/tex]
2. [tex]\frac{5}{3} = \frac{10}{6}[/tex]
3. [tex]\frac{5}{3} = \frac{5}{3}[/tex]
