Question

Solve: \[\frac{2x}{x+1} = \frac{2x-1}{x}\]

Answer 1

Cross - multiply.

Answer 2

2x(x)=(2x-1)(x+1)

Answer 3

and x cannot be -1 or 0 :)

Answer 4

uhmm okay...

Answer 5

\(\Large \color{purple}{\rightarrow 2x(x) = (2x - 1)(x + 1) }\)

Answer 6

Do you know igba, why we cross multiply?

Answer 7

so \[2x62 = 2x^2 + x - 1\]

Answer 8

that's \(2x^2\)

Answer 9

that right?

Answer 10

yes

Answer 11

\(\Large \color{purple}{\rightarrow 2x^2 = 2x(x + 1) - 1(x + 1) }\)

\(\Large \color{purple}{\rightarrow 2x^2 = 2x^2 + 2x - x - 1 }\)

\(\Large \color{purple}{\rightarrow 2x^2 = 2x^2 + x - 1 }\)

Answer 12

yay so what's next @Diyadiya

Answer 13

\(\Large \color{purple}{\rightarrow 0 = x - 1 }\)

\(\Large \color{purple}{\rightarrow x = 1 }\)

Answer 14

Note how I subtracted \(2x^2\) from both sides.

Answer 15

got it ?

Answer 16

i think so..ill try more problems thanks :)