Question : If $4x–7y=3$ and $2x–y=9$, then the value of $(x–y)$ is:
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 6
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Correct Answer: 3
Solution :
Given: $4x–7y=3$ and $2x–y=9$.
⇒ $4x=3+7y$ ----------(1)
⇒ $2x=9+y$ -----------(2)
Equating equation (1) and (2), we get:
⇒ $3+7y=2(9+y)$
⇒ $3+7y=18+2y$
⇒ $5y=15$
⇒ $y=3$
Putting the value of $y$ in equation (1),
⇒ $4x=3+7×3$
⇒ $4x=24$
⇒ $x=6$
So, $(x–y)=6–3$
$(x–y)=3$
Hence, the correct answer is 3.
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