Question : If $2x-5y=5$ and $2x-y=9$, then $(x-y)$ is equal to:
Option 1: 2
Option 2: 4
Option 3: 6
Option 4: 3
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Correct Answer: 4
Solution : Given: $2x-5y=5$ and $2x-y=9$. ⇒ $2x=5+5y$ ----------(1) ⇒ $2x=9+y$ -----------(2) Comparing equation (1) and (2), we get: ⇒ $5+5y=9+y$ ⇒ $4y=4$ ⇒ $y=1$ Putting the value of $y$ in equation (1), $2x=5+5×1$ ⇒ $2x=10$ ⇒ $x=5$ So, $(x-y)=5–1$ ⇒ $(x-y)=4$ Hence, the correct answer is 4.
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