1.用代入法解下列方程组(1)3x+4y=2,2x-y=5;
(2)x+y=5,3x-7y=11;
(3)2x-3y=8,3x+7y=0.5;
(4)9x+8y=-2,4x+5y=-11;
(5)3(x-1)=y+5,5(y-1)=3(x+5);
(6)2u/3+3v/4=1/2,4u/5+5v/6=7/15。
解题要有过程,要表明清楚!
1.用代入法解下列方程组(1)3x+4y=2,2x-y=5;
(2)x+y=5,3x-7y=11;
(3)2x-3y=8,3x+7y=0.5;
(4)9x+8y=-2,4x+5y=-11;
(5)3(x-1)=y+5,5(y-1)=3(x+5);
(6)2u/3+3v/4=1/2,4u/5+5v/6=7/15。
解题要有过程,要表明清楚!
(1)由2x-y=5得y=2x-5代入前式得3x+4(2x-5)=2解得x=20/11 y=-1
(2)由x+y=5得y=5-x代入后式得3x-7(5-x)=11解得x=2.4 y=2.6
(3)由2x-3y=8得y=(2x-8)/3代入后式得3x+7(2x-8)/3=0.5解得x=115/32 y=-13/48
(4)由4x+5y=-11得y=(-11-4x)/5代入前式得9x+8(-11-4x)/5=-2解得x=6 y=7
(5)由5(y-1)=3(x+5)得y=3x/5+4代入前式得3(x-1)=3x/5+4+5解得x=5 y=7
(6)由2u/3+3v/4=1/2得u=(6-9v)/8代入后式得(6-9v)/10+5v/6=7/15解得u=-1.5 v=2