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\[\large \frac{a+b}{a}=\frac{a}{b}=x\]

Given a and b are real numbers and x is positive, find x.

 Jan 21, 2021
 #1
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I think X=1.

 

 

 

\(\frac{a+b}{a}=x\)

 

\(\frac{a+b}{a}a=xa\)   (I multiplied both sides by A.)

Simplify and it turns into a+b=xa

 

A+B-B=XA-B (I subtracted B from both sides)

 

A=XA-B

 

A-XA=XA-B-XA (I subtracted XA from both sides)

 

a-xa=-b

a(1-x)=-b

 

\(\frac{a\left(1-x\right)}{1-x}=\frac{-b}{1-x};\)

 

So, x=1. I hope this helps.

 Jan 21, 2021

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