二元聯立方程練習測驗（附答案）

Question 1

用代入法解此聯立方程：
$$
\begin{cases}
 y = x + 2\
 x + y = 10
\end{cases}
$$

Accepted Answer

$(4,6)$

Answer

$(6,4)$

Answer

$(8,2)$

Answer

$(3,7)$

Question 2

哪一組聯立方程 **無解**？

Accepted Answer

$\begin{cases}y=2x+1\y=2x-3\end{cases}$

Answer

$\begin{cases}y=2x+1\2y=4x+2\end{cases}$

Answer

$\begin{cases}y=2x+1\y=-2x-3\end{cases}$

Answer

$\begin{cases}x+y=5\x-y=1\end{cases}$

Question 3

三變數聯立方程：求 $(x,y,z)$。
$$
\begin{cases}
 x+y+z=6\
 x+y=4\
 z=2
\end{cases}
$$

Accepted Answer

$(2,2,2)$

Answer

$(4,0,2)$

Answer

$(2,2,4)$

Answer

$(1,3,1)$

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