Question

(2+x) (7-x) /(4+x) (5-x) =1​

Answer 1

Hi ,

( 2 + x ) ( 7 - x ) /( 5 - x )( 4 + x ) = 1

( 2 + x ) ( 7 - x ) = ( 5 - x ) ( 4 + x )

14 - 2x + 7x - x² = 20 + 5x - 4x - x²

14 + 5x = 20 + x

5x - x = 20 - 14

4x = 6

x = 6 /4

x = 3/2

I hope this helps you.

:)

Answer 2

Step-by-step explanation:

Given:-

$\frac{(2 + x)(7 - x)}{(4 + x)(5 - x)} = 1 \\ \\ now \: cross \: multiply \: this \\ \\ (2 + x)(7 - x) = (4+ x)(5 - x) \\ \\ 14 - 2x + 7x - {x}^{2} = 20 - 4x + 5x - {x}^{2} \\ \\ 14 - 2x + 7x - {x}^{2} - 20 + 4x - 5x + {x}^{2} = 0 \\ \\ - 6 + 4x = 0 \\ \\ 4x = 6\\ \\ x = \frac{ 6}{4} \\ \\ x = 1.5$