三个同学对问题“若方程组﹛a1x+b1y=c1 a2x+b2y=c2 的解是x=3,y=4,求方程组3a1(x-1)+b1(y+3)=4c13a2(X-1)+b2(y+3)=4c2的解.
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![三个同学对问题“若方程组﹛a1x+b1y=c1 a2x+b2y=c2 的解是x=3,y=4,求方程组3a1(x-1)+b1(y+3)=4c13a2(X-1)+b2(y+3)=4c2的解.](/uploads/image/z/10360177-25-7.jpg?t=%E4%B8%89%E4%B8%AA%E5%90%8C%E5%AD%A6%E5%AF%B9%E9%97%AE%E9%A2%98%E2%80%9C%E8%8B%A5%E6%96%B9%E7%A8%8B%E7%BB%84%EF%B9%9Ba1x%2Bb1y%3Dc1+a2x%2Bb2y%3Dc2+%E7%9A%84%E8%A7%A3%E6%98%AFx%3D3%2Cy%3D4%2C%E6%B1%82%E6%96%B9%E7%A8%8B%E7%BB%843a1%28x-1%29%2Bb1%28y%2B3%29%3D4c13a2%28X-1%29%2Bb2%28y%2B3%29%3D4c2%E7%9A%84%E8%A7%A3.)
三个同学对问题“若方程组﹛a1x+b1y=c1 a2x+b2y=c2 的解是x=3,y=4,求方程组3a1(x-1)+b1(y+3)=4c13a2(X-1)+b2(y+3)=4c2的解.
三个同学对问题“若方程组﹛a1x+b1y=c1 a2x+b2y=c2 的解是x=3,y=4,求方程组
3a1(x-1)+b1(y+3)=4c1
3a2(X-1)+b2(y+3)=4c2的解.
三个同学对问题“若方程组﹛a1x+b1y=c1 a2x+b2y=c2 的解是x=3,y=4,求方程组3a1(x-1)+b1(y+3)=4c13a2(X-1)+b2(y+3)=4c2的解.
方程组a1x+b1y=c1 a2x+b2y=c2 的解是x=3,y=4,
所以
3a1+4b1=c1 ,3a2+4b2=c2
3a1(x-1)+b1(y+3)=4c1
3a2(X-1)+b2(y+3)=4c2
两边除以4,上面的方程组可化为:
a1*[3(x-1)/4] +b1* [(y+3)/4]=c1,
a2*[3(x-1)/4] +b2* [(y+3)/4]=c2,
3a1+4b1=c1 与a1*[3(x-1)/4] +b1* [(y+3)/4]=c1对比系数,
3a2+4b2=c2与a2*[3(x-1)/4] +b2* [(y+3)/4]=c2对比系数,
可以知道:3(x-1)/4=3,(y+3)/4=4,
解得x=5,y=13.
即所求方程组解是x=5,y=13.
个人认为x=4/3,y=1/3
方程组a1x+b1y=c1 a2x+b2y=c2 的解是x=3,y=4,
所以
3a1+4b1=c1 ,3a2+4b2=c2
3a1(x-1)+b1(y+3)=4c1
3a2(X-1)+b2(y+3)=4c2
两边除以4,上面的方程组可化为:
a1*[3(x-1)/4] +b1* [(y+3)/4]=c1,
a2*[3(x-1)/4] +b2...
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方程组a1x+b1y=c1 a2x+b2y=c2 的解是x=3,y=4,
所以
3a1+4b1=c1 ,3a2+4b2=c2
3a1(x-1)+b1(y+3)=4c1
3a2(X-1)+b2(y+3)=4c2
两边除以4,上面的方程组可化为:
a1*[3(x-1)/4] +b1* [(y+3)/4]=c1,
a2*[3(x-1)/4] +b2* [(y+3)/4]=c2,
3a1+4b1=c1 与a1*[3(x-1)/4] +b1* [(y+3)/4]=c1对比系数,
3a2+4b2=c2与a2*[3(x-1)/4] +b2* [(y+3)/4]=c2对比系数,
可以知道:3(x-1)/4=3,(y+3)/4=4,
解得x=5,y=13.
即所求方程组解是x=5,y=13.
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