If (5x/3) – 4 = (2x/5), then the numerical value of 2x – 7 is(a) 1

1.	If (5x/3) – 4 = (2x/5), then the numerical value of 2x – 7 is(a) 19/13 (b) -13/19 (c) 0 (d) 13/19
Answer» (b) -13/19 Given, (5x/3) – 4 = (2x/5) (5x/3) – (2x/5) = 4 LCM of 3 and 5 is 15 (25x – 6x)/15 = 4 19x = 4 × 15 19x = 60 x = 60/19 Then, Substitute the value of x in 2x -7 = (2 × (60/19)) – 7 = (120/19) – 7 = (120 – 133)/19 = – 13/19

If (5x/3) – 4 = (2x/5), then the numerical value of 2x – 7 is(a) 19/13 (b) -13/19 (c) 0 (d) 13/19

Answer»

(b) -13/19

Given, (5x/3) – 4 = (2x/5)

(5x/3) – (2x/5) = 4

LCM of 3 and 5 is 15

(25x – 6x)/15 = 4

19x = 4 × 15

19x = 60

x = 60/19

Then, Substitute the value of x in 2x -7

= (2 × (60/19)) – 7

= (120/19) – 7

= (120 – 133)/19

= – 13/19