Discussion
Value of x and y for equations x + 3y = 15 and 5x - 2y = 7 will be respectively
Answer: C
The values are \(x = 3\) and \(y = 4\), so the answer is 3, 4.
From the first equation \(x = 15 - 3y\). Substitute into the second:
\[ \begin{aligned} 5(15 - 3y) - 2y &= 7 \\ 75 - 17y &= 7 \\ y &= 4,\ x = 15 - 12 = 3 \end{aligned} \]
Check: \(3 + 12 = 15\) and \(15 - 8 = 7\). The option 4, 3 has the right numbers in the wrong order, since the question asks for x and y respectively. 5, 3 fails the first equation (\(5 + 9 = 14\)), and -3, 6 fails the second (\(-15 - 12 = -27\)).
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