Question

solve by systematic method and verify the solution: 2/3x-5/2=5/4​

Answer 1

Step-by-step explanation:

2/3x-5/2=5/4

2/3x = 5/4+5/2

2/3x = (5+10)/4 ( :: LCM of of 2 and 4 is 4)

2/3x = 15/4

now taking cross multiplication

( 2x) x 4 = 15 x 3

8x = 45

x = 45/8

it's verification

taking LHS of equation

2/3x-5/2

putting the value of x

2/3 (45/8) -5/2

15/4 - 5/2

(15-10)/4

5/4. = RHS

hence verified