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Chapter 8: Q. 8.138 (page 980)

Solve:x=y1-y,fory.

Short Answer

Expert verified

The solution foryfor the given equationx=y1-yis,y=xx+1.

Step by step solution

01

Step 1. Given information

x=y1-y.

We need to solve the given equation fory.

02

Step 2.Note any value of the variable that would make any denominator zero.

x=y1-y,y鈮�1.

Here, the LCD is, (1-y).

Multiply the given equation with the LCD on both sides.

1-yx=1-y.y1-y

Now simplify it.

1-yx=y

03

Step 3. Isolate the term with y and then simplify.

x-xy=yx=xy+yyx+1=xy=xx+1

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