Answer: \(x = 3\), \(y = -2\)
Adding the two equations: \((5x + 3y) + (2x - 3y) = 9 + 12\), i.e. \(7x = 21\), so \(x = 3\).
Put \(x = 3\) in \(5x + 3y = 9\): \(15 + 3y = 9 \Rightarrow 3y = -6 \Rightarrow y = -2\).
Check: \(2(3) - 3(-2) = 12\) ✓.
Best answer
Answer: \(x = 3\), \(y = -2\)
Adding the two equations: \((5x + 3y) + (2x - 3y) = 9 + 12\), i.e. \(7x = 21\), so \(x = 3\).
Put \(x = 3\) in \(5x + 3y = 9\): \(15 + 3y = 9 \Rightarrow 3y = -6 \Rightarrow y = -2\).
Check: \(2(3) - 3(-2) = 12\) ✓.
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