1543.2−x=661.6−x
How can that equation be simplified as such? :
154(1.6−x)=66(3.2−x)
Can someone explain?
Answer
Apart from the fact that, as long as denominators are not zero, the formal definition of fractions is that the two equations are equivalent, we have:
1543.2−x=661.6−x1543.2−x⋅(1.6−x)=661.6−x⋅(1.6−x)1543.2−x⋅(1.6−x)=66(1.6−x)⋅(1.6−x)1543.2−x⋅(1.6−x)=661543.2−x⋅(1.6−x)⋅(3.2−x)=66⋅(3.2−x)154(3.2−x)⋅(1.6−x)⋅(3.2−x)=66⋅(3.2−x)154⋅(1.6−x)=66⋅(3.2−x)
where all the red parts cancel eachother.
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