第69页

信息发布者:
解:
$\begin{cases} y=2x-1, & \textcircled{1} \\ 3x+2y=5, & \textcircled{2} \end{cases}$
将$\textcircled{1}$代入$\textcircled{2},$
得$3x+2(2x-1)=5,$
解得$x=1.$
将$x=1$代入$\textcircled{1},$
得$y=1.$
所以原方程组的解是$\begin{cases} x=1, \\ y=1 \end{cases}$
解:
$\begin{cases} 2x-y=3, & \textcircled{1} \\ 3x+2y=8, & \textcircled{2} \end{cases}$
由$\textcircled{1},$得$y=2x-3,$$\textcircled{3}$
将$\textcircled{3}$代入$\textcircled{2},$得$3x+2(2x-3)=8,$
解得$x=2.$
将$x=2$代入$\textcircled{3},$得$y=2×2-3=1.$
所以原方程组的解是$\begin{cases} x=2, \\ y=1 \end{cases}$
解:
​$ \begin{cases} \frac{x}{2}-\dfrac{y+1}{3}=1, & \textcircled{1} \\3x+2y=0, & \textcircled{2} \end{cases}$​
​$ $​由​$\textcircled{2},$​
得​$x=-\frac {2}{3}y,$​​$\textcircled{3}$​
​$ $​将​$\textcircled{3}$​代入​$\textcircled{1},$​
得​$-\frac {1}{3}y-\frac {y+1}{3}=1,$​
解得​$y=-2.$​
​$ $​将​$y=-2$​代入​$\textcircled{3},$​得​$x=\frac {4}{3}.$​
​$ $​所以原方程组的解是​$\begin {cases} x=\frac {4}{3}, \\y=-2 \end {cases}$​
解:
$\begin{cases} 3x+y=11, & \textcircled{1} \\ 7x-3y=-1, & \textcircled{2} \end{cases}$
$\textcircled{1}×3,$得$9x+3y=33,$$\textcircled{3}$
$\textcircled{2}+\textcircled{3},$得$16x=32,$解得$x=2.$
将$x=2$代入$\textcircled{1},$得$y=5.$
所以原方程组的解是$\begin{cases} x=2, \\ y=5 \end{cases}$
解:
方程组整理,得$\begin{cases} 3x-2y=-20, & \textcircled{1} \\ 2x+15y=3, & \textcircled{2} \end{cases}$
$\textcircled{1}×15+\textcircled{2}×2,$得$49x=-294,$
解得$x=-6.$
将$x=-6$代入$\textcircled{2},$得$y=1.$
所以原方程组的解是$\begin{cases} x=-6, \\ y=1 \end{cases}$
解:
方程组整理,得$\begin{cases} 5y-3x=20, & \textcircled{1} \\ 4y-3x=13, & \textcircled{2} \end{cases}$
$\textcircled{1}-\textcircled{2},$得$y=7.$
将$y=7$代入$\textcircled{1},$得$5×7-3x=20,$
解得$x=5.$
所以原方程组的解是$\begin{cases} x=5, \\ y=7 \end{cases}$
解:
$\begin{cases} 2x+y=7, & \textcircled{1} \\ 2x-3y=3, & \textcircled{2} \end{cases}$
$\textcircled{1}-\textcircled{2},$得$4y=4,$解得$y=1.$
将$y=1$代入$\textcircled{1},$得$x=3.$
所以原方程组的解是$\begin{cases} x=3, \\ y=1 \end{cases}$
解:
$\begin{cases} 5x-2y=4, & \textcircled{1} \\ 2x-3y=-5, & \textcircled{2} \end{cases}$
$\textcircled{1}×3-\textcircled{2}×2,$得$11x=22,$解得$x=2.$
将$x=2$代入$\textcircled{1},$得$10-2y=4,$解得$y=3.$
所以原方程组的解是$\begin{cases} x=2, \\ y=3 \end{cases}$