College Algebra Section 1-1 pt. 1 'Linear Equations'

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I multiply by 6 because it is the smallest number that 2 and 3 can both divide into evenly. The goal is to get rid of the 2 and 3 in the denominators. When I multiply by 6, it will get rid of the 2 and 3 in the denominators which will make my equation much easier to solve. I could have used a larger number that 2 and 3 both divide evenly like 12 or 18 if I wanted, but it will be easier if I use the smallest number possible. That's why I used 6. I hope that makes sense.

MrHammysMathClass

could you explain why are we multiplying by 6/1?

dennisalejandropavon

and could we use another number instead of 6/1?

dennisalejandropavon