12. 解下列方程组:
(1) $\left\{ \begin{array} { l } { y = 2 x - 3, } \\ { 3 x - y = 18 ; } \end{array} \right.$
(2) $\begin{cases}3(x-1)=y+5\\3(x+5)=5(y-1)\end{cases} $
(1) $\left\{ \begin{array} { l } { y = 2 x - 3, } \\ { 3 x - y = 18 ; } \end{array} \right.$
$\begin{cases} x = 15, \\ y = 27. \end{cases}$
(2) $\begin{cases}3(x-1)=y+5\\3(x+5)=5(y-1)\end{cases} $
$\begin{cases} x = 5, \\ y = 7. \end{cases}$
答案
(1) $\begin{cases} x = 15, \\ y = 27. \end{cases}$ (2) $\begin{cases} x = 5, \\ y = 7. \end{cases}$
13. 解下列方程组:
(1) $ \left\{ \begin{array} { l } { y = 2 x - 3, \textcircled { 1 } } \\ { 3 x + 2 y = 8 ; \textcircled { 2 } } \end{array} \right. $ (用代入消元法)
(2) $\begin{cases}x+y=5①\\2x+3y=11②\end{cases}$ (用加减消元法)
(1) $ \left\{ \begin{array} { l } { y = 2 x - 3, \textcircled { 1 } } \\ { 3 x + 2 y = 8 ; \textcircled { 2 } } \end{array} \right. $ (用代入消元法)
$\begin{cases} x = 2, \\ y = 1. \end{cases}$
(2) $\begin{cases}x+y=5①\\2x+3y=11②\end{cases}$ (用加减消元法)
$\begin{cases} x = 4, \\ y = 1. \end{cases}$
答案
(1) $\begin{cases} x = 2, \\ y = 1. \end{cases}$ (2) $\begin{cases} x = 4, \\ y = 1. \end{cases}$
14. 用合适的方法解下列方程组:
(1) $ \left\{ \begin{array} { l } { x - y = 3, } \\ { 7 x + 5 y = - 9 ; } \end{array} \right. $
解:
(2) $\begin{cases}\frac {x}2+\frac y{3}=2\\2(x+3)-3y=1\end{cases}$
解:
(1) $ \left\{ \begin{array} { l } { x - y = 3, } \\ { 7 x + 5 y = - 9 ; } \end{array} \right. $
解:
$\begin{cases} x = \dfrac{1}{2}, \\ y = -2\dfrac{1}{2}. \end{cases}$
(2) $\begin{cases}\frac {x}2+\frac y{3}=2\\2(x+3)-3y=1\end{cases}$
解:
$\begin{cases} x = 2, \\ y = 3. \end{cases}$
答案
(1) $\begin{cases} x = \dfrac{1}{2}, \\ y = -2\dfrac{1}{2}. \end{cases}$ (2) $\begin{cases} x = 2, \\ y = 3. \end{cases}$
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