Which of the following equations give the solution which is a fraction and a negative integer?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

3 x + 2 = 5 x + 2

4 x − 18 = 2

4 x + 7 = x + 2

5 x − 8 = x + 4

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

We have to find the equation that gives the solution which is a fraction and a negative integer.
Also, in transposition, we shift a number from one side of an equation to the other.
Solving,

⇒ 2 x = 4 ⇒ x = 2

So, the solution is neither a fraction nor a negative integer.

4 x − 18 = 2

⇒ 4 x = 20 ⇒ x = 5

So, the solution is neither a fraction nor a negative integer.

4 x + 7 = x + 2

⇒ 3 x = − 5 ⇒ x = − 5 3

Here, the solution is a fraction, and a negative integer.

5 x − 8 = x + 4

⇒ 4 x = 12 ⇒ x = 3

So, the solution is neither a fraction nor a negative integer.
Therefore, option 3 is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE