电子课本网 第54页

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​$\begin{cases}x = 3y\\x - 3 = y + 4\end{cases}$​
10.5
3.5
解:将​$x = 2y$​代入​$3x - 2y = 2$​得:
​$ 3×2y - 2y = 2,$​解得​$y=\frac 12$​
​$ $​把​$y=\frac 12$​代入​$x = 2y$​得​$x=1$​
∴方程组的解为​$\begin {cases}x = 1\\y =\frac 12\end {cases}$​
解:由​$x + y = 1$​得​$x = 1 - y$​
​$ $​将​$x = 1 - y$​代入​$4x + 3y = 9$​得:
​$ 4×(1 - y)+3y = 9,$​解得​$y = - 5$​
​$ $​把​$y = - 5$​代入​$x = 1 - y$​得​$x=6$​
∴方程组的解为​$\begin {cases}x = 6\\y = - 5\end {cases}$​
解:将​$2y = 3x + 2$​代入​$x + 2y = 10$​得:
​$ x + 3x + 2 = 10,$​解得​$x = 2$​
​$ $​把​$x = 2$​代入​$2y = 3x + 2$​得,​$y = 4$​
∴方程组的解为​$\begin {cases}x = 2\\y = 4\end {cases}$​
解:由​$3\ \mathrm {m} - n = 2$​得​$n = 3\ \mathrm {m} - 2$​
​$ $​将​$n = 3\ \mathrm {m} - 2$​代入​$m + 2n = 11$​得:
​$ m + 2×(3\ \mathrm {m} - 2)=11,$​解得​$m = 3$​
​$ $​把​$m = 3$​代入​$n = 3\ \mathrm {m} - 2$​得​$n=7$​
∴方程组的解为​$\begin {cases}m = 3\\n = 1\end {cases}$​
​$\begin{cases}x = 0\\y = 1\end{cases}$​
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