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114會考數學考題_04


<單選題>若二元一次聯立方程式\(\begin{cases} 37x + 2y = 81 \\ 23x – 2y = 39 \end{cases}\)的解為\(\begin{cases} x = a \\ y = b \end{cases}\),則 \(a + 2b\) 之值為何?
(A) 33
(B) 9
(C) -3
(D) -27

答案

兩式相加得 \(60x = 120\),\(x = 2\),代入得 \(y = 3.5\),\(a + 2b = 2 + 7 = 9\)。答案:B 報錯
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