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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