|
===משוואות לינאריות רמה ב===
#<math>\begin{cases}y-x=3\\x-6y-5z=17\\-6x-4y-6z=46\end{cases}</math>
#<math>\begin{cases}6x-y=14\\-5x+3y-z=-18\\-5x+6y+2z=-18\end{cases}</math>
#<math>\left\{\begin{matrix}
#<math>\begin{cases}-5x+y-5z=18\\2x+4y-6z=-32\\-2x-y-5z=4\end{cases}</math>
y-x
#<math>\begin{cases}3x-4y+5z=36\\-6x-6y+4z=96\\4y-5z=-54\end{cases}</math>
& = &
#<math>\begin{cases}2x-y-z=-2\\-4x-3y-3z=-36\\-5x+y+4z=5\end{cases}</math>
3
#<math>\begin{cases}5x-y-z=8\\-5x-4y+3z=-39\\6 x+4 y+5 z=17\end{cases}</math>
\\
#<math>\begin{cases}-5x-2z=-9\\-3x+2y-3z=3\\-6x-2y+4z=-10\end{cases}</math>
x-6 y-5 z
#<math>\begin{cases}x+2y=-9\\2y-3z=-18\\6x-6y-2z=50\end{cases}</math>
& = &
#<math>\begin{cases}6x-5y+5z=16\\-y-6z=9\\2x+5y-6z=-7\end{cases}</math>
17
#<math>\begin{cases}6x-2y+z=-1\\-2x+2y+2z=-2\\2x+2y-2z=2\end{cases}</math>
\\
#<math>\begin{cases}-x+y-4z=8\\-6x+4y+2z=-16\\-3x-4y+6z=-54\end{cases}</math>
-6 x-4 y-6 z
#<math>\begin{cases}-x+3y+4z=6\\x-5y-z=3\\2x-3y+2z=18\end{cases}</math>
& = &
#<math>\begin{cases}-6x+5y-6z=24\\-6x+2y+5z=6\\y+2z=6\end{cases}</math>
46
#<math>\begin{cases}-x+y+2z=22\\-6x-2y+5z=58\\-5x+6y-5z=24\end{cases}</math>
\end{matrix}\right.</math>
#<math>\begin{cases}6x-4y+2z=-32\\2x-6y+z=-12\\6x+5y-2z=-16\end{cases}</math>
#<math>\left\{\begin{matrix}
#<math>\begin{cases}5x+2y+4z=-34\\6y+6z=0\\2x-4y-z=-18\end{cases}</math>
6 x-y
#<math>\begin{cases}4x-6y-6z=-34\\-2x-4y+4z=-26\\-3x-4y-4z=-17\end{cases}</math>
& = &
#<math>\begin{cases}-6x-2z=-38\\-x-5y-4z=-41\\-4x-2z=-28\end{cases}</math>
14
#<math>\begin{cases}5x+5y=-25\\2y+3z=12\\-2x-6y+6z=34\end{cases}</math>
\\
#<math>\begin{cases}3x+4y-z=0\\5x+4y+3z=-12\\-2y-4z=36\end{cases}</math>
-5 x+3 y-z
#<math>\begin{cases}-6x-6y-6z=-66\\x-y-4z=-14\\3x-3y-6z=-24\end{cases}</math>
& = &
#<math>\begin{cases}6x-2y-5z=-31\\-x-2z=-10\\6x-y-z=-8\end{cases}</math>
-18
#<math>\begin{cases}-4x-3y+3z=-6\\-4x-5y+5z=-26\\-3x-5y+2z=-20\end{cases}</math>
\\
#<math>\begin{cases}-5x+6y+z=-23\\3x+4y-2z=-20\\4x-y+2z=-9\end{cases}</math>
-5 x+6 y+2 z
#<math>\begin{cases}-6x+2y+4z=-10\\-3x-4z=15\\3x-5y+5z=-8\end{cases}</math>
& = &
#<math>\begin{cases}4z-5x=4\\3x-5y+4z=19\\-4x-y-z=2\end{cases}</math>
-18
#<math>\begin{cases}5z-5x=5\\-x+6y+4z=40\\4y+3z=29\end{cases}</math>
\end{matrix}\right.</math>
#<math>\begin{cases}-5x-5y+z=-59\\6z-3x=-12\\5y-3z=27\end{cases}</math>
#<math>\left\{\begin{matrix}
#<math>\begin{cases}-3x+2y+z=11\\6x-5y-z=-20\\-2y-3z=-1\end{cases}</math>
-5 x+y-5 z
#<math>\begin{cases}6x=-6\\6x-6y+z=-4\\-2x+4y-z=0\end{cases}</math>
& = &
#<math>\begin{cases}11x-6y+10z=-90\\-9x-10y+3z=137\\3x-8y-2z=88\end{cases}</math>
18
#<math>\begin{cases}-7x+5y+6z=3\\-2x-7y+10z=-82\\11x-3y-4z=-59\end{cases}</math>
\\
#<math>\begin{cases}-9x-3y-10z=-38\\-6x-y-7z=-32\\10x+3y+7z=36\end{cases}</math>
2 x+4 y-6 z
#<math>\begin{cases}-10x+11y+11z=-81\\7x-y-5z=54\\-3x+4y-3z=-18\end{cases}</math>
& = &
#<math>\begin{cases}5x+9y=86\\4x-5y-7z=-20\\-3x+10y-6z=105\end{cases}</math>
-32
#<math>\begin{cases}-10x+10y-6z=-32\\11x-11y-3z=-32\\10x-4y+8z=94\end{cases}</math>
\\
#<math>\begin{cases}-7x+10y+3z=35\\-10x-6y+8z=-18\\z-5x=-21\end{cases}</math>
-2 x-y-5 z
#<math>\begin{cases}-9x+3y-8z=111\\3x-9y-2z=-81\\4x-8z=32\end{cases}</math>
& = &
#<math>\begin{cases}7x-4y-6z=-7\\-9x-9y-10z=126\\-4x-2y-6z=76\end{cases}</math>
4
#<math>\begin{cases}-9x+10y-9z=218\\9x-11y+7z=-209\\3x+5y-z=59\end{cases}</math>
\end{matrix}\right.</math>
#<math>\begin{cases}7x+11y+11z=-126\\8x+6y-8z=-126\\-x+5y+3z=-32\end{cases}</math>
#<math>\left\{\begin{matrix}
#<math>\begin{cases}2x-y-6z=49\\-6x+9y-8z=193\\3x-10y-3z=-69\end{cases}</math>
3 x-4 y+5 z
#<math>\begin{cases}-8x+y+7z=15\\10x+7y+7z=147\\-5x+6y+6z=31\end{cases}</math>
& = &
#<math>\begin{cases}-4x+4y-9z=-13\\3x+8z=-26\\-3x-9y+z=44\end{cases}</math>
36
#<math>\begin{cases}8x+5y-11z=-99\\9x+10y-11z=-90\\-11x-2y-6z=24\end{cases}</math>
\\
#<math>\begin{cases}-2x-2y+8z=68\\5x-2y-7z=-74\\5x+2y-3z=-26\end{cases}</math>
-6 x-6 y+4 z
#<math>\begin{cases}-9y-z=55\\8x-9y-5z=147\\10z-6x=-76\end{cases}</math>
& = &
#<math>\begin{cases}-6x-y-3z=26\\3x+2y+7z=-31\\-2x+9y+8z=48\end{cases}</math>
96
#<math>\begin{cases}-11x-10y+8z=-55\\7x-10y-6z=-15\\-4x+5y-5z=-2\end{cases}</math>
\\
#<math>\begin{cases}-9x+10y+3z=64\\-10y=-100\\-11x-7y+6z=-135\end{cases}</math>
4 y-5 z
& = &
-54
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
2 x-y-z
& = &
-2
\\
-4 x-3 y-3 z
& = &
-36
\\
-5 x+y+4 z
& = &
5
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 x-y-z
& = &
8
\\
-5 x-4 y+3 z
& = &
-39
\\
6 x+4 y+5 z
& = &
17
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-5 x-2 z
& = &
-9
\\
-3 x+2 y-3 z
& = &
3
\\
-6 x-2 y+4 z
& = &
-10
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
x+2 y
& = &
-9
\\
2 y-3 z
& = &
-18
\\
6 x-6 y-2 z
& = &
50
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
6 x-5 y+5 z
& = &
16
\\
-y-6 z
& = &
9
\\
2 x+5 y-6 z
& = &
-7
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
6 x-2 y+z
& = &
-1
\\
-2 x+2 y+2 z
& = &
-2
\\
2 x+2 y-2 z
& = &
2
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-x+y-4 z
& = &
8
\\
-6 x+4 y+2 z
& = &
-16
\\
-3 x-4 y+6 z
& = &
-54
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-x+3 y+4 z
& = &
6
\\
x-5 y-z
& = &
3
\\
2 x-3 y+2 z
& = &
18
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x+5 y-6 z
& = &
24
\\
-6 x+2 y+5 z
& = &
6
\\
y+2 z
& = &
6
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-x+y+2 z
& = &
22
\\
-6 x-2 y+5 z
& = &
58
\\
-5 x+6 y-5 z
& = &
24
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
6 x-4 y+2 z
& = &
-32
\\
2 x-6 y+z
& = &
-12
\\
6 x+5 y-2 z
& = &
-16
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 x+2 y+4 z
& = &
-34
\\
6 y+6 z
& = &
0
\\
2 x-4 y-z
& = &
-18
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
4 x-6 y-6 z
& = &
-34
\\
-2 x-4 y+4 z
& = &
-26
\\
-3 x-4 y-4 z
& = &
-17
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x-2 z
& = &
-38
\\
-x-5 y-4 z
& = &
-41
\\
-4 x-2 z
& = &
-28
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 x+5 y
& = &
-25
\\
2 y+3 z
& = &
12
\\
-2 x-6 y+6 z
& = &
34
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
3 x+4 y-z
& = &
0
\\
5 x+4 y+3 z
& = &
-12
\\
-2 y-4 z
& = &
36
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x-6 y-6 z
& = &
-66
\\
x-y-4 z
& = &
-14
\\
3 x-3 y-6 z
& = &
-24
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
6 x-2 y-5 z
& = &
-31
\\
-x-2 z
& = &
-10
\\
6 x-y-z
& = &
-8
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-4 x-3 y+3 z
& = &
-6
\\
-4 x-5 y+5 z
& = &
-26
\\
-3 x-5 y+2 z
& = &
-20
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-5 x+6 y+z
& = &
-23
\\
3 x+4 y-2 z
& = &
-20
\\
4 x-y+2 z
& = &
-9
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x+2 y+4 z
& = &
-10
\\
-3 x-4 z
& = &
15
\\
3 x-5 y+5 z
& = &
-8
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
4 z-5 x
& = &
4
\\
3 x-5 y+4 z
& = &
19
\\
-4 x-y-z
& = &
2
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 z-5 x
& = &
5
\\
-x+6 y+4 z
& = &
40
\\
4 y+3 z
& = &
29
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-5 x-5 y+z
& = &
-59
\\
6 z-3 x
& = &
-12
\\
5 y-3 z
& = &
27
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-3 x+2 y+z
& = &
11
\\
6 x-5 y-z
& = &
-20
\\
-2 y-3 z
& = &
-1
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
6 x
& = &
-6
\\
6 x-6 y+z
& = &
-4
\\
-2 x+4 y-z
& = &
0
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
11 x-6 y+10 z
& = &
-90
\\
-9 x-10 y+3 z
& = &
137
\\
3 x-8 y-2 z
& = &
88
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-7 x+5 y+6 z
& = &
3
\\
-2 x-7 y+10 z
& = &
-82
\\
11 x-3 y-4 z
& = &
-59
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-9 x-3 y-10 z
& = &
-38
\\
-6 x-y-7 z
& = &
-32
\\
10 x+3 y+7 z
& = &
36
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-10 x+11 y+11 z
& = &
-81
\\
7 x-y-5 z
& = &
54
\\
-3 x+4 y-3 z
& = &
-18
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 x+9 y
& = &
86
\\
4 x-5 y-7 z
& = &
-20
\\
-3 x+10 y-6 z
& = &
105
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-10 x+10 y-6 z
& = &
-32
\\
11 x-11 y-3 z
& = &
-32
\\
10 x-4 y+8 z
& = &
94
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-7 x+10 y+3 z
& = &
35
\\
-10 x-6 y+8 z
& = &
-18
\\
z-5 x
& = &
-21
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-9 x+3 y-8 z
& = &
111
\\
3 x-9 y-2 z
& = &
-81
\\
4 x-8 z
& = &
32
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
7 x-4 y-6 z
& = &
-7
\\
-9 x-9 y-10 z
& = &
126
\\
-4 x-2 y-6 z
& = &
76
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-9 x+10 y-9 z
& = &
218
\\
9 x-11 y+7 z
& = &
-209
\\
3 x+5 y-z
& = &
59
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
7 x+11 y+11 z
& = &
-126
\\
8 x+6 y-8 z
& = &
-126
\\
-x+5 y+3 z
& = &
-32
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
2 x-y-6 z
& = &
49
\\
-6 x+9 y-8 z
& = &
193
\\
3 x-10 y-3 z
& = &
-69
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-8 x+y+7 z
& = &
15
\\
10 x+7 y+7 z
& = &
147
\\
-5 x+6 y+6 z
& = &
31
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-4 x+4 y-9 z
& = &
-13
\\
3 x+8 z
& = &
-26
\\
-3 x-9 y+z
& = &
44
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
8 x+5 y-11 z
& = &
-99
\\
9 x+10 y-11 z
& = &
-90
\\
-11 x-2 y-6 z
& = &
24
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-2 x-2 y+8 z
& = &
68
\\
5 x-2 y-7 z
& = &
-74
\\
5 x+2 y-3 z
& = &
-26
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-9 y-z
& = &
55
\\
8 x-9 y-5 z
& = &
147
\\
10 z-6 x
& = &
-76
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x-y-3 z
& = &
26
\\
3 x+2 y+7 z
& = &
-31
\\
-2 x+9 y+8 z
& = &
48
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-11 x-10 y+8 z
& = &
-55
\\
7 x-10 y-6 z
& = &
-15
\\
-4 x+5 y-5 z
& = &
-2
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-9 x+10 y+3 z
& = &
64
\\
-10 y
& = &
-100
\\
-11 x-7 y+6 z
& = &
-135
\end{matrix}\right.</math>
===תשובות===
#<math>(-4,-1,-3)</math>
#<math>(2,-2,2)</math>
#<math>(-6,-2,2)</math>
#<math>(-6,-6,6)</math>
#<math>(3,4,4)</math>
#<math>(2,5,-3)</math>
#<math>(1,6,2)</math>
#<math>(3,-6,2)</math>
#<math>(1,-3,-1)</math>
#<math>(0,0,-1)</math>
#<math>(6,6,-2)</math>
#<math>(6,0,3)</math>
#<math>(1,6,0)</math>
#<math>(-6,4,6)</math>
#<math>(-4,0,-4)</math>
#<math>(-6,2,-2)</math>
#<math>(-1,6,-1)</math>
#<math>(5,4,4)</math>
#<math>(-5,0,4)</math>
#<math>(6,-6,-6)</math>
#<math>(3,5,3)</math>
#<math>(0,3,5)</math>
#<math>(-6,6,-4)</math>
#<math>(-2,-5,-3)</math>
#<math>(-1,-2,-3)</math>
#<math>(0,-3,1)</math>
#<math>(2,5,3)</math>
#<math>(6,6,1)</math>
#<math>(-4,-1,1)</math>
#<math>(-1,0,2)</math>
#<math>(-6,-11,-9)</math>
#<math>(-9,0,-10)</math>
#<math>(4,-6,2)</math>
#<math>(7,0,-1)</math>
#<math>(1,9,-3)</math>
#<math>(7,8,7)</math>
#<math>(6,5,9)</math>
#<math>(-4,9,-6)</math>
#<math>(-7,3,-9)</math>
#<math>(-2,11,-10)</math>
#<math>(-7,-9,2)</math>
#<math>(-4,9,-11)</math>
#<math>(7,1,10)</math>
#<math>(10,-9,-7)</math>
#<math>(-6,3,6)</math>
#<math>(-1,3,9)</math>
#<math>(11,-6,-1)</math>
#<math>(-3,10,-6)</math>
#<math>(3,3,1)</math>
#<math>(1,10,-9)</math>
#<math>
\left(-4,-1,-3\right)
</math>
#<math>
\left(2,-2,2\right)
</math>
#<math>
\left(-6,-2,2\right)
</math>
#<math>
\left(-6,-6,6\right)
</math>
#<math>
\left(3,4,4\right)
</math>
#<math>
\left(2,5,-3\right)
</math>
#<math>
\left(1,6,2\right)
</math>
#<math>
\left(3,-6,2\right)
</math>
#<math>
\left(1,-3,-1\right)
</math>
#<math>
\left(0,0,-1\right)
</math>
#<math>
\left(6,6,-2\right)
</math>
#<math>
\left(6,0,3\right)
</math>
#<math>
\left(1,6,0\right)
</math>
#<math>
\left(-6,4,6\right)
</math>
#<math>
\left(-4,0,-4\right)
</math>
#<math>
\left(-6,2,-2\right)
</math>
#<math>
\left(-1,6,-1\right)
</math>
#<math>
\left(5,4,4\right)
</math>
#<math>
\left(-5,0,4\right)
</math>
#<math>
\left(6,-6,-6\right)
</math>
#<math>
\left(3,5,3\right)
</math>
#<math>
\left(0,3,5\right)
</math>
#<math>
\left(-6,6,-4\right)
</math>
#<math>
\left(-2,-5,-3\right)
</math>
#<math>
\left(-1,-2,-3\right)
</math>
#<math>
\left(0,-3,1\right)
</math>
#<math>
\left(2,5,3\right)
</math>
#<math>
\left(6,6,1\right)
</math>
#<math>
\left(-4,-1,1\right)
</math>
#<math>
\left(-1,0,2\right)
</math>
#<math>
\left(-6,-11,-9\right)
</math>
#<math>
\left(-9,0,-10\right)
</math>
#<math>
\left(4,-6,2\right)
</math>
#<math>
\left(7,0,-1\right)
</math>
#<math>
\left(1,9,-3\right)
</math>
#<math>
\left(7,8,7\right)
</math>
#<math>
\left(6,5,9\right)
</math>
#<math>
\left(-4,9,-6\right)
</math>
#<math>
\left(-7,3,-9\right)
</math>
#<math>
\left(-2,11,-10\right)
</math>
#<math>
\left(-7,-9,2\right)
</math>
#<math>
\left(-4,9,-11\right)
</math>
#<math>
\left(7,1,10\right)
</math>
#<math>
\left(10,-9,-7\right)
</math>
#<math>
\left(-6,3,6\right)
</math>
#<math>
\left(-1,3,9\right)
</math>
#<math>
\left(11,-6,-1\right)
</math>
#<math>
\left(-3,10,-6\right)
</math>
#<math>
\left(3,3,1\right)
</math>
#<math>
\left(1,10,-9\right)
</math>
[[קטגוריה:אלגברה תיכונית - משוואות]]
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