解方程组x:y=3:4

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/30 01:15:20
解方程组x:y=3:4
利用解二元一次方程组的代入消元法解方程组 如x-2y=0① x²+3y-3y²=4② 这个方程组

x-2y=0①x²+3y-3y²=4②由(1)得:x=2y(3)代入(2)得:4y²+3y-3y²=4y²+3y-4=0(y+4)(y-1)=0y1=

解二元一次方程组:3(x+y)-4(x-y)=4,x+y/2+x-y/6+1

3(x+y)-4(x-y)=4,①x+y/2+x-y/6=1,则3(x+y)+(x-y)=6②②-①,得5(x-y)=2,解得x-y=2/5③代入②,得x+y=28/15④③+④,得2x=34/15,

3(x+y)+2(x-y)=36 4(x+y)-5(x-y)=2 解方程组

5x+y=369y-x=2即45y-10+y=36y=1x=7

解二元一次方程组{3(x+y)-(x-y)=4,x+y/2+x-y/6=1

原方程组变形得:①3﹙x+y﹚-﹙x-y﹚=4②3﹙x+y﹚+﹙x-y﹚=6∴①+②得:③x+y=10/3②-①得:④x-y=1∴③+④得:x=13/6③-④得:y=7/6∴x=13/6,y=7/6.

解方程组X+Y/2=3X-2Y=10+6X+Y/4

合并方程组:x+y/2=3x-2y;3x-2y=10+6x+y/4;得出:x=5y/4;从而算出:x=-25/12,y=-5/3.手机打很累.

解方程组 x-y/3-x+y/4=2 x-y/6-x+y/8=3

{{x-y)/3-(x+y)/4=2①{(x-y)/6-(x+y)/8=3②②×2得:(x-y)/3-(x+y)/4=6③①与③矛盾∴原方程组无解

解方程组 {(x+y)/2+(x-y)/3=6 5(x+y)-2(x-y)=4

(x+y)/2+(x-y)/3=6①5(x+y)-2(x-y)=4②由①得3x+3y+2x-2y=365x+y=36y=36-5x③由②得5x+5y-2x+2y=43x+7y=4④③代入④得3x+25

解方程组:x+y/2+x-y/3=6 4(x+y)-5(x-y)=12

设a=x+y,b=x-y原方程组为:a/2+b/3=6,即3a+2b=36,即:12a+8b=1444a-5b=12,即:12a-15b=36相减得:23b=108,得:b=108/23,再得:a=1

解方程组 {3(x+y)-4(x-y)=11 {2(x-y)+5(x+y)=27全过程、快

方程化为-x+7y=1117x+3y=272将1式化为x=7y-113则将3式代入2式可得7(7y-11)+3y=2752y=104y=2x=7×2-11x=3所以解得x=3y=2

解方程组:2(x-y)/3-x+y/4=-1 ,6(x+y)-4(2x-y)=16

2(x-y)/3-x+y/4=-1(1)6(x+y)-4(2x-y)=16(2)(1)方程两边同乘以12得8(x-y)-3(x+y)=-12合并同类项得5x-11y+12=0(3)(2)合并同类项得1

3(x+y)—4(x-y)=4,(x+y/2)+(x-y/6)=1.解方程组

化简得:3(x+y)-4(x-y)=43x+3y-4x+4y=4-x+7y=4-x=4-7yx=7y-4(x+y/2)+(x-y/6)=12x+y/3=12(7y-4)+y/3=114y-8+y/3=

解方程组 X+Y/2+X-Y/3=6 4[X+Y]-5[X-Y]=2

先将第一个等式整理得12X+Y=36,第二个等式整理得-X+9Y=2,由第一个等式得Y=36-12X,通过换元法得-X+9(36-12X)=2,解出X=322/109,再把X=322/109代入-X+

解方程组{4/x+y+6/x-y=3, 9/x-y-1/x+y=1

令a=1/(x+y),b=1/(x-y)4a+6b=3(1)9b-a=1(2)(1)+(2)×46b+36b=3+442b=7b=1/6a=9b-1=1/2所以x+y=1/a=2x-y=1/b=6相加

解方程组:{4/x+y+6/x-y=3 9/x-y-1/x+y=1}

{4/x+y+6/x-y=3{9/x-y-1/x+y=1令1/(x+y)=a,1/(x-y)=b则原方程组为{4a+6b=3{-a+9b=1解得{a=1/2{:b=1/6所以{x+y=2{x-y=6解

解方程组{ 3x-4y(x-y)=3 { 2x-3y=1

{3x-4y(x-y)=3,2x-3y=12x-3y=1,得x-y=(1+y)/23x-4y(x-y)=3,代入x-y=(1+y)/2,得3x-2y(1+y)=33x-2y-2y²=34y+

解方程组x+y/3=x-y/4 2x+3y=11

x+y/3=x-y/4⑴2x+3y=11⑵由⑴得x+7y=0,x=-7y(3)将(3)代入⑵得y=-1所以x=7

1/2x-2y=-74,x-6y=-12解方程组,x/5-y/2=2,2x+3y=4解方程组

1)1/2x-2y=-74,①x-6y=-12②2①-②得2y=136y=68代入①得x=4202)x/5-y/2=2,化简2x-5y=20①2x+3y=4②①-②得-8y=16y=-2代入①得2x=

解二元一次方程组{3(x+y)-4(x-y)=4,x+y/2+x-y/6=1

3(x+y)-4(x-y)=43x+3y-4x+4y=4x-7y=-4(1)x+y/2+x-y/6=13x+3y+x-y=62x+y=3(2)(1)+(2)×715x=17所以x=17/15y=3-2

解方程组24/(x+y) +24/(x-y) = 7/3 ,8/(x+y) +18/(x-y) = 4/3

因为8/(x+y)+18/(x-y)=4/3,两边乘以3得24/(x+y)+54/(x-y)=4两边同时减去24/(x+y)+24/(x-y)=7/3得30/(x-y)=5/3所以x-y=18代入8/

解方程组3(x+y)-4(x-y)=4和(x+y)/2+(x-y)/6=1

(x+y)/2+(x-y)/6=1x/2+x/6+y/2-y/6=12x/3+y/3=12x+y=3(1)3(x+y)-4(x-y)=43x+3y-4x+4y=4-x+7y=4(2)(1)+2*(2)