如何解方程组y=3x-5,y=2x b
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5x+y=369y-x=2即45y-10+y=36y=1x=7
6x+7y+6x-7y=5+1912x=24x=2可得y=-1
3x-2y=8①.3x+2y=4②相加,得6x=12x=2代入①,得6-2y=82y=-2y=-1再问:已知方程{①.mx+2y=6②2x=y=3中x与y互为相反数,求m的值6千米/时=——米/分4千
两式相加为6x=12x=2y=-1
3x-2y=8①.3x+2y=4②相加,得6x=12x=2代入①,得6-2y=82y=-2y=-1
{5(x+y)+3(x-y)=2{7(x+y)-3(x-y)=-6原方程组化简得﹛4x+y=1(1)2x+5y=-3(2)(1)×5得20x+5y=5(3)(3)-(2)得18x=8x=4/9代入(1
由(1)得2x+4y-5y=-12x-y=-1(3)由(2)得3x-3y+y=23x-2y=2(4)(3)×2-(4)得x=-4把=-4代入(3)得y=-7∴方程组的解是x=-4y=-7
(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
5(x+y)+3(x-y)=908x+2y=901式5(x+y)-3(x-y)=302x+8y=302式1式乘以4-2式解得x=11y=1
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
由(2+3x)/(5+4y)=9得,2+3x=45+36y,即3x-36y=43由4+6y-y=1得,5y=-3,y=-3/5把y=-3/5代入3x-36y=43中得,x=107/15∴x=107/5
5x-6y=11(1)5x-9y=5(2)由(1)-(2)得-6y+9y=11-53y=6y=2x=23/5
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
{(x-2)(y+3)=(x+1)(y-1){(x+1)(y+1)=(x-1)(y+5){xy+3x-2y-6=xy-x+y-1{xy+x+y+1=xy+5x-y-5{4x-3y=5(1){4x-2y
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+
第一个式子左边右边同时乘以3得:X+Y+3Y=18即X+4Y=18第二个式子3X+2Y=24解得:X=6,Y=3
化简得:-x+7y=11①7x+3y=27②①式×7得:-7x+49y=77③②+③得:52y=104∴y=2代入①得:x=3∴x=3,y=2
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=
解将x+y=3代入1/2(x+y)-3y=5∴1/2×3-3y=5∴3y=3/2-5∴3y=-7/2∴y=-7/6∴x=25/6
展开x^2-2y^2-xy=-5x^2-2y^2+xy=7所以x^2-2y^2=1xy=6上式除以下式,解分式方程x/y=3/2或-4/3(舍去)所以x^2=9y^2=4x=3y=2或x=-3y=-2