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$3x – y = 3$, $5x + y = 21$ হলে $(x, y)$ এর মান কত?

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প্রদত্ত সমীকরণ দুইটি যোগ করলে:

$(3x – y) + (5x + y) = 3 + 21$

বা, $3x – y + 5x + y = 3 + 21$

বা, $8x = 24$

বা, $x = \frac{24}{8}$

$\therefore x = 3$

$x$ এর মান প্রথম সমীকরণে বসিয়ে $y$ নির্ণয় করি:

$3x – y = 3$

বা, $3 = 3x – y$

বা, $y = 3x – 3$

বা, $y = 3\times3 – 3$

বা, $y = 9 – 3$

$\therefore y = 6$

সুতরাং, $3x – y = 3$, $5x + y = 21$ হলে $(x, y)$ এর মান $(3,6)$.

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