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

Solution:

Given, the expression is 5x/3 - 4 = 2x/5

We have to find the numerical value of 2x - 7.

On solving the expression 5x/3 - 4 = 2x/5 for x,

5x/3 - 2x/5 = 4

[5x(5) - 2x(3)]/3(5) = 4

(25x - 6x)/15 = 4

19x/15 = 4

19x = 4(15)

19x = 60

x = 60/19

Use the value of x in 2x - 7,

2x - 7 = 2(60/19) - 7

= 120/19 - 7

= [120 - 19(7)]/19

= (120 - 133)/19

= -13/19

Therefore, the required value is -13/19.

✦ Try This: If x/5 - 6 = 3x/5, then the numerical value of 4x + 3 is

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

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NCERT Exemplar Class 8 Maths Chapter 4 Problem 5

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

Summary:

If 5x/3 - 4 = 2x/5, then the numerical value of 2x - 7 is -13/19.

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