SOLUTION: b=p-2l/2 is the same as b=p/2-l l=2s-an/n is the same as l=2s/n-a d=c-16e/16 is the same as d=c/16-e x=my-r/m is the same as x=y-r/m these are the answers of my tex

Algebra ->  Equations -> SOLUTION: b=p-2l/2 is the same as b=p/2-l l=2s-an/n is the same as l=2s/n-a d=c-16e/16 is the same as d=c/16-e x=my-r/m is the same as x=y-r/m these are the answers of my tex      Log On


   



Question 1199376: b=p-2l/2 is the same as b=p/2-l
l=2s-an/n is the same as l=2s/n-a
d=c-16e/16 is the same as d=c/16-e
x=my-r/m is the same as x=y-r/m
these are the answers of my textbook (equations) when solving subject of the formula and as you can see there are 2 solutions that can be taken as correct . But , how are they both the same? could you explain the logic behind this ? Thanks in advance.

Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

You mentioned
"b=p-2l/2 is the same as b=p/2-l"
which I'm assuming you are saying
b+=+%28p-2L%29%2F2 is the same as b+=+p%2F2+-+L

This claim is true because of these steps
b+=+%28p-2L%29%2F2

b+=+p%2F2-%282L%29%2F2 Break up the fraction

b+=+p%2F2+-+L The '2's cancel for the second fraction.

Similar cancellations occur for the other equations.

Eg:
To go from L+=+%282s-an%29%2Fn to L+=+%282s%29%2Fn+-+a, the 'n's cancel in the 2nd fraction.

To go from d+=+%28c-16e%29%2F16 to d+=+c%2F16+-+e, the '16's cancel in the 2nd fraction.

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Side note:
when wanting to divide all of something like p-2L over 2, then you should use parenthesis.
You should say (p-2L)/2 instead of p-2L/2

p-2L/2 means p+-+%282L%29%2F2

(p-2L)/2 means %28p+-+2L%29%2F2