Question

5x-5/4x+7=5x-31/4x-23​

Answer 1

Answer:

Step-by-step explanation:

by cross multiplication

(5x - 5)(4x - 23) = ( 4x + 7 ) ( 5x - 31 )

20x^2 - 115x - 20x + 115  = 20x^2 - 124x + 35x - 217

cancelling 20x^2 on both the sides

-135x + 115 = - 89x - 217

-135x + 89x = -217 - 115

- 46x = -332

x = 7.21

Answer 2

SOLUTION:

WE HAVE,

$\frac{5x - 5}{4x + 7} = \frac{5x - 31}{4x - 23} \\ \\ (cross \: multiplication) \\ \\ = > (4x - 23)(5x - 5) = (4x + 7)(5x - 31) \\ \\ = > 4x(5x - 5) - 23(5x - 5) = 4x(5x - 31) + 7(5x - 31) \\ \\ = > 20 {x}^{2} - 20x - 115x + 115 = 20 {x}^{2} - 124x + 35x - 217 \\ \\ = > 20 {x}^{2} - 135x + 115 = 20 {x}^{2} - 89x - 217 \\ \\ (cancelling \: 20 {x}^{2} ) \\ \\ = > - 135x + 115 = - 89x - 217 \\ \\ = > - 135x + 89x = - 217 - 115 \\ \\ = > - 46x = - 332 \\ (minus \: cancel) \\ \\ = > x = \frac{332}{46} \\ \\ = > x = 7.21$

Thank you.