If y=x-2/x+1, then x equals

Correct Answer is : y+21−yy+2/1-y1−yy+2

Correct Answer is : y+21−yy+2/1-y1−yy+2

Test Index

CTET Paper II (Mathematics and Science) July 2013 Solved Paper

Question : 41 of 150

Marks: +1, -0

y=\frac{x-2}{x+1}

, then x equals

Solution:

Concept:

Cross-multiply and rearrange to isolate

x

Explanation:

Start with

y = \frac{x-2}{x+1}

Multiply both sides by

(x+1)

y(x+1) = x-2

Expand:

xy + y = x - 2

Bring

x

terms to one side:

xy - x = -y - 2

, or

x - xy = y + 2

Factor

x

x(1 - y) = y + 2

Divide by

(1 - y)

x = \frac{y+2}{1 - y}

Answer:

x = \frac{y+2}{1-y}

(Option A).

Go to Question:

Prev Question

Next Question