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# algebra

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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