4x+5y-6z=0 x+2y-7z=0 且xyz≠0 试求 2x²+y²-6z² —————— x²+5y²+3z²2x²+y²-6z² —————x²+5y²+3z²
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4x+5y-6z=0 x+2y-7z=0 且xyz≠0 试求 2x²+y²-6z² —————— x²+5y²+3z²2x²+y²-6z² —————x²+5y²+3z²
4x+5y-6z=0 x+2y-7z=0 且xyz≠0 试求 2x²+y²-6z² —————— x²+5y²+3z²
2x²+y²-6z²
—————
x²+5y²+3z²
4x+5y-6z=0 x+2y-7z=0 且xyz≠0 试求 2x²+y²-6z² —————— x²+5y²+3z²2x²+y²-6z² —————x²+5y²+3z²
将z看成已知数
4x+5y=6z①
x+2y=7z②
可解得②×4-①可得3y=22z
y=22/3z
x=7z-2y=-23/3z
代入计算式有
计算式=[2*(-23/3)²+(22/3)²-6]z²/{[(-23/3)²+5*(22/3)²+3]z²}
=(2*23²+22²-6*3²)/(23²+5*22²+3*3²)
=1488/2976=1/2
令Z=1,带入上式得x=-23/3,y=22/3,
因此令z=3,得x=-23,y=22
带入分式得(2*x^2+y^2-6*z^2)/(x^2+5*y^2+3*z^2)=1/2
1.{x:y:z=3:4:5 2x+3y-5z=-142.{x-y-z=-1 3x+5y+7z=11 4x-y+2z=-13.{x+y=1 x+z=0 2x+y+2z=44.{x-y+z=-3 2x-y-z=-2 -3x+y+z=-15.{x-y+z=-3 3x+y-4z=6 2x+y-z=36.{x-2y+5z=16 2x+y-5z=7 2x-y+z=38
已知4x-3y-6z=0,x+2y-7z=0,求5x+2y-z/2x-3y-10z
三元一次方程解 1.{x+y-z=5 {3x+2y+z=2 {2x-2y+z=-31.{x+y-z=5 2.{9x-5y+x=-6 3.{x-y=3 4.{x+y=3 5.{4x-2y+z=7{3x+2y+z=2 {9x+y-2z=3 {x+z=7 {y+z=4 {2x-y-3z=28{2x-2y+z=-3 {-9x+3y-5z=0 {y-z=6 {z+x=5 {x+y-2z=13
已知x,y,z,满足方程组x-2y+z=0,7x+4y-5z=0
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