How to solve a proportion with a variable on both sides

The video tutorial explains how to solve equations with variables on both sides without relying on cross multiplication, which can lead to errors. Instead, it emphasizes using the least common multiple to eliminate denominators. The tutorial provides a step-by-step guide on correctly multiplying terms and solving the equation to find the variable.

What is a common mistake students make when solving proportions with variables on both sides?

• Adding the denominators together

• Multiplying only the numerators

• Ignoring the variables

• Using cross multiplication without understanding

Why is it important to find the least common multiple when dealing with different denominators?

• To avoid using variables

• To simplify the numerators

• To ensure the denominators are equal

• To make the equation longer

What should you be careful about when multiplying by the least common multiple?

• Multiplying both the numerator and denominator

• Only multiplying the denominator

• Ignoring the least common multiple

• Multiplying only the numerator

What happens to the terms when you multiply by the least common multiple and they cancel out?

• They remain unchanged

• They become zero

• They simplify the equation

• They disappear completely

What is the final step in solving the equation with variables on both sides?

• Adding the variables together

• Subtracting the variables from both sides

• Dividing by the variable

• Multiplying the variables