explanation of variables, math homework

Mathematics
Tutor: None Selected Time limit: 1 Day

Why is this wrong 4x+3=4(1+x)+1 explain

solve:

5+6y=9y+2+3(1-y)

Jan 19th, 2016

Thank you for the opportunity to help you with your question!

In this kind of simplification, you always simplify out by using the common factor in the expression. In this case for 4x+3, there is no common factor that can be used to divide both 4x and 3. It would have been possible if the term was 4x+4 as 4 would have been a common factor and thus giving 4(x+1) but for the case of 4x+3, that answer is simplified and nothing more can be done about it.

5+6y=9y+2+3(1-y)

opening the brackets

5+6y=9y+2+3-3y

putting like terms together

6y-9y+3y=2+3-5

using BODMAS

9y-9y=0

2+3+5=0

thus the answer reduces to zero

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Jan 19th, 2016

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