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Question
If `(5x)/3 - 4 = (2x)/5`, then the numerical value of 2x – 7 is ______.
Options
`19/13`
`- 13/19`
0
`13/19`
Solution
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`
= `- 13/19` ...[Taking LCM]
Hence, the numerical value of 2x – 7 is `- 13/19`.
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