Question

If `(5x)/3 - 4 = (2x)/5`, then the numerical value of 2x – 7 is ______.

Options

• `19/13`

• `- 13/19`

• 0

• `13/19`

Answer 1

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

Explanation:

Given, `(5x)/3 - 4 = (2x)/5`

⇒ `(5x)/3 - (2x)/5 = 4`  ...[Transposing `(2x)/5` to LHS and – 4 to RHS]

⇒ `(25x - 6x)/15 = 4`  ...[Taking LCM in LHS]

⇒ 19x = 60

⇒ `(19x)/19 = 60/19`  ...[Dividing both sides by 19]

⇒ `x = 60/19`

Now, `2x - 7 = 2 xx 60/19 - 7`  ...[Putting the value of x]

= `(120 - 133)/19`  ...[Taking LCM]

= `- 13/19`  

Hence, the numerical value of 2x – 7 is `- 13/19`.