ויקיספר

מתמטיקה תיכונית/אלגברה תיכונית/משוואות/משוואות בשני נעלמים או יותר/תרגילים/משוואות לינאריות רמה ב: הבדלים בין גרסאות בדף

עיון אינטראקטיבי בהיסטוריה
העריכה הבאה ←
תוכן שנמחק תוכן שנוסף
חזותיקוד ויקי
דרורק (שיחה | תרומות)
1,137 עריכות
אין תקציר עריכה
 
דרורק (שיחה | תרומות)
1,137 עריכות
טעות בחישוב התשובות
שורה 1:
===משוואות לינאריות רמה ב===
 
#<math>\left\{\begin{matrix}
y-x
-2 x-2 y-4 z
& = &
3
-34
\\
-x+-6 y-45 z
& = &
17
11
\\
-36 x+-4 y-56 z
& = &
46
20
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-56 x-5 y+2 z
& = &
14
13
\\
-35 x-5+3 y+5 -z
& = &
-18
27
\\
-25 x-2+6 y+42 z
& = &
-18
16
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-45 x+y-5 z
& = &
18
-16
\\
-62 x+34 y-56 z
& = &
-32
38
\\
4-2 x+5 -y-45 z
& = &
4
7
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
43 x-64 y+25 z
& = &
36
-62
\\
-46 x+-6 y-3+4 z
& = &
96
13
\\
6 x-4 y-65 z
& = &
-1654
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-2 x+-y-4 z
& = &
-142
\\
-64 x-63 y-3 z
& = &
-36
24
\\
-5 x-+y-2+4 z
& = &
5
-34
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 x-y+-z
& = &
8
\\
-5 yx-24 xy+3 z
& = &
-2439
\\
-6 x-+4 y+5 z
& = &
17
21
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
3-5 x+3 y+5-2 z
& = &
-209
\\
6-3 x+42 y-23 z
& = &
3
42
\\
3-6 x-2 y-5+4 z
& = &
-2510
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
x-y-+2 zy
& = &
-9
20
\\
2 y-3 xz
& = &
-18
0
\\
-36 x+5-6 y-32 z
& = &
50
18
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-36 x-35 y-+5 z
& = &
16
-20
\\
2 x-3y-6 z
& = &
9
4
\\
-2 x+25 y-26 z
& = &
-6
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
3 x-2 y+2 z
& = &
-8
\\
5 z-4 x
& = &
29
\\
-2 x+4 y+2 z
& = &
18
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
6 x+y+2 z
& = &
-17
\\
-6 x-6 y-5 z
& = &
-7
\\
-2 x+6 y+6 z
& = &
4
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
56 x+y-52 y+z
& = &
18
\\
4 x-6 y-6 z
& = &
32
\\
6 z-6 x
& = &
-24
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
2 x+2 y-3 z
& = &
-1
\\
-42 x-3+2 y-6+2 z
& = &
-52
\\
32 x-4+2 y-2 z
& = &
2
12
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-5 x+2 y-54 z
& = &
8
5
\\
-56 x-3+4 y-+2 z
& = &
-316
\\
6-3 x-34 y+26 z
& = &
-1254
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
4 -x+23 y-5+4 z
& = &
6
31
\\
-3 x-45 y+4 -z
& = &
3
4
\\
2 x-3 y+2 z
y-z
& = &
18
-3
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-26 x-+5 y-46 z
& = &
24
-10
\\
-6 x+62 y-+5 z
& = &
6
-58
\\
6 xy+52 y-z
& = &
6
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-5 x-2 +y+2 z
& = &
22
34
\\
-56 x-32 y-3+5 z
& = &
58
-4
\\
-5 x+56 y-5 z
& = &
24
-16
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x+-4 y-3+2 z
& = &
-2432
\\
42 x-36 y+6 z
& = &
-12
2
\\
-36 x-4+5 y-2 z
& = &
-5
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
3 x-2 y+3 z
& = &
-29
\\
2 x-6 y-2 z
& = &
10
\\
-3 x+6 y-5 z
& = &
-74
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x-6 y+4 z
& = &
34
\\
4 x+5 y-5 z
& = &
15
\\
-x+4 y+2 z
& = &
10
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
4 x-4 y+z
& = &
15
\\
-4 x-y-4 z
& = &
7
\\
3 x+4 y+4 z
& = &
-16
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 x+2 y+4 z
3 z-5 y
& = &
-4034
\\
-46 xy+3 y-46 z
& = &
0
13
\\
62 x-4 y-z
& = &
-518
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-64 x-26 y+-6 z
& = &
-34
38
\\
-52 x+y-24 y+4 z
& = &
-26
9
\\
-63 x-54 y-4 z
& = &
-1817
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-26 x-2 z
& = &
-438
\\
-3 x-65 y+2-4 z
& = &
-41
29
\\
5-4 x-y+2 z
& = &
-328
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 x-2+5 y-z
& = &
-25
7
\\
2 xy+63 z
& = &
12
-28
\\
6-2 x+-6 y+56 z
& = &
34
14
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-y-3 x+4 y-z
& = &
0
16
\\
-5 x-+4 y+3 z
& = &
-4512
\\
5 x+4-2 y-54 z
& = &
36
-33
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
4-6 x-6 y+2-6 z
& = &
-66
34
\\
-5 x-4 y-24 z
& = &
-914
\\
-3 x+5-3 y-36 z
& = &
-4624
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-46 x-2 y-5 z
& = &
-31
19
\\
-4 x+6 y-2 z
& = &
-10
22
\\
36 x-3 y+5 -z
& = &
-218
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-54 x+5-3 y-6+3 z
& = &
-6
12
\\
3-4 x-65 y-2+5 z
& = &
-26
8
\\
-3 x+4-5 y-6+2 z
& = &
-20
54
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
6-5 x+6 y-6 +z
& = &
-4823
\\
43 x+24 y-32 z
& = &
-20
28
\\
34 x-y+32 y-z
& = &
-149
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x+2 y+4 z
& = &
-2210
\\
-53 x-3 y+54 z
& = &
15
-11
\\
-63 x+3-5 y-6+5 z
& = &
-8
18
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
64 xz-5 zx
& = &
4
-6
\\
3 x-25 y-6+4 z
& = &
19
13
\\
-24 x-4 y-2 z
& = &
2
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 z-5 x-y-z
& = &
5
-33
\\
3 -x-4+6 y-6+4 z
& = &
40
9
\\
-2 x-64 y-4+3 z
& = &
29
18
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-5 x-5 y+z
& = &
-1859
\\
6 z-3 x+3 y-6 z
& = &
-312
\\
5 y-3 x-4 y+4 z
& = &
27
1
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
2-3 x-+2 y+z
& = &
11
-12
\\
6 x-25 y-4 z
& = &
-1620
\\
-42 xy-6 y+53 z
& = &
-1
25
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-x-y-6 zx
& = &
17
\\
-3 x-4 y-4 z
& = &
-6
\\
-26 x-26 y+2 z
& = &
-4
12
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-3 x+2 y-2 z
& = &
20
\\
-42 x-+4 y+2 -z
& = &
0
-14
\\
3 x+4 y-2 z
& = &
-30
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
211 zx-26 xy+10 z
& = &
-290
\\
-9 x+3-10 y+53 z
& = &
137
-41
\\
-3 x-28 y-42 z
& = &
88
-6
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5 z-7 x+5 y+6 z
& = &
3
5
\\
3-2 x-37 y+510 z
& = &
-1182
\\
11 x-3 y-4 z
y-x
& = &
-159
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
6-9 x+5-3 y+-10 z
& = &
-38
5
\\
-6 x-6 y+4-7 z
& = &
-2232
\\
-610 x+3 y-5+7 z
& = &
36
17
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
5-10 x-3+11 y-6+11 z
& = &
-81
19
\\
-67 x+5 -y-25 z
& = &
54
23
\\
6-3 x+4 y+-3 z
& = &
-3318
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-25 x-2+9 y+5 z
& = &
86
0
\\
64 x+4-5 y-7 z
& = &
-20
36
\\
-3 x+310 y-56 z
& = &
105
-14
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-510 x+510 y-46 z
& = &
-1032
\\
311 x-411 y+-3 z
& = &
-1732
\\
10 x-4 y-6+8 z
& = &
94
50
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
4-7 x+510 y+3 z
& = &
35
-34
\\
5-10 x+-6 y+68 z
& = &
-718
\\
z-5 x
& = &
-621
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
4-9 x-y+63 y-8 z
& = &
111
-17
\\
-23 x-59 y+5-2 z
& = &
-81
38
\\
z4 x-38 yz
& = &
32
5
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
27 x-24 y-6 z
& = &
-7
14
\\
-49 x-9 y-210 z
& = &
126
-32
\\
-54 x-2 y-6 z
& = &
76
5
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
3-9 x-4+10 y+6-9 z
& = &
218
34
\\
69 x-311 y+7 z
& = &
-209
12
\\
-3 x-6+5 y-z
& = &
59
29
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
37 x+11 y-6+11 z
& = &
-126
27
\\
68 x+6 y+4-8 z
& = &
-16126
\\
-2 x+45 y+3 z
& = &
-32
12
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
x+62 x-y+2-6 z
& = &
49
-9
\\
3-6 x-+9 y-8 z
& = &
193
14
\\
63 zx-410 xy-3 z
& = &
-69
50
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-48 x+3 y-4+7 z
& = &
22
\\
-x-3 y-z
& = &
13
\\
6 x-3 y+2 z
& = &
15
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x+5 y-4 z
& = &
27
\\
210 x-5+7 y+27 z
& = &
147
18
\\
y-25 x+6 y+6 z
& = &
31
-7
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-4 x+4 y-9 z
3 z-6 y
& = &
-13
33
\\
-23 x+2 y+38 z
& = &
-1026
\\
-3 x+-9 y+4 z
& = &
44
-9
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
68 x-2+5 y+2-11 z
& = &
-99
2
\\
29 x-4+10 y-311 z
& = &
-90
13
\\
6-11 x+3-2 y-6 z
& = &
24
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-42 x-62 y-4+8 z
& = &
68
-54
\\
5 x-32 y-47 z
& = &
-74
16
\\
-65 x-5+2 y+4-3 z
& = &
-26
16
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
3 x+3-9 y-z
& = &
55
-9
\\
-48 x+3-9 y-25 z
& = &
147
-20
\\
x10 z-6 y+zx
& = &
-76
17
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-6 x-y-3 z
& = &
26
-3
\\
3 x+2 y+7 z
& = &
9
\\
5 x+2 y
& = &
28
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-2 x-4 y-z
& = &
-31
\\
4-2 x+9 y-5+8 z
& = &
48
37
\\
-2 x+4 y+z
& = &
16
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-11 x-10 y+48 z
& = &
-3155
\\
-47 x+4-10 y-56 z
& = &
-15
65
\\
2-4 x-2+5 y+-5 z
& = &
-92
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
-49 x-3+10 y+23 z
& = &
64
5
\\
-10 y
2 x+5 y-6 z
& = &
-19100
\\
6-11 x-7 y+6 z
& = &
-135
19
\end{matrix}\right.</math>
#<math>\left\{\begin{matrix}
2 x+2 y-2 z
& = &
16
\\
2 x-6 y+2 z
& = &
14
\\
-2 x-5 y+z
& = &
-19
\end{matrix}\right.</math>
 
===פתרונות===
#<math>
\{1left(-6,0-11,-39\}right)
</math>
#<math>
\left(-9,0,-10\right)
\{0,1,2\}
</math>
#<math>
\{-3left(4,-36,42\}right)
</math>
#<math>
\{-1left(7,0,-1,2\}right)
</math>
#<math>
\{-3left(1,9,-2,3\}right)
</math>
#<math>
\left(7,8,7\right)
\{2,-1,-1\}
</math>
#<math>
\{left(6,4,-5,9\}right)
</math>
#<math>
\{left(-4,39,0-6\}right)
</math>
#<math>
\left(-7,3,-9\right)
\{4,4,2\}
</math>
#<math>
\left(-2,11,-10\right)
\{3,-3,4\}
</math>
#<math>
\left(-7,-9,2\right)
\{5,5,0\}
</math>
#<math>
\{left(-54,-59,-611\}right)
</math>
#<math>
\left(7,1,10\right)
\{-5,-2,6\}
</math>
#<math>
\{1left(10,-19,2-7\}right)
</math>
#<math>
\{left(-6,-53,-56\}right)
</math>
#<math>
\left(-1,3,9\right)
\{6,4,-6\}
</math>
#<math>
\left(11,-6,-1\right)
\{-2,0,2\}
</math>
#<math>
\{left(-53,210,-36\}right)
</math>
#<math>
\{left(3,-3,31\}right)
</math>
#<math>
\left(1,10,-9\right)
\{4,-3,1\}
</math>
#<math>
\{-6,3,6\}
</math>
#<math>
\{-5,0,3\}
</math>
#<math>
\{4,-1,-3\}
</math>
#<math>
\{-4,3,-4\}
</math>
#<math>
\{1,-6,3\}
</math>
#<math>
\{3,2,5\}
</math>
#<math>
\{4,-2,-3\}
</math>
#<math>
\{4,-3,-4\}
</math>
#<math>
\{-5,5,-5\}
</math>
#<math>
\{-6,-2,3\}
</math>
 
 
 
===תשובות===
 
#<math>
\left(-4,-1,-3\right)
\{2,3,1\}
</math>
#<math>
\{left(2,0-2,52\}right)
</math>
#<math>
\{left(-6,-12,52\}right)
</math>
#<math>
\left(-6,-6,6\right)
\{0,4,-5\}
</math>
#<math>
\{-5left(3,24,34\}right)
</math>
#<math>
\{-left(2,5,-4,23\}right)
</math>
#<math>
\{5,3left(1,6,2\}right)
</math>
#<math>
\{-5,1left(3,-6,2\}right)
</math>
#<math>
\left(1,-3,-1\right)
\{4,5,6\}
</math>
#<math>
\left(0,0,-1\right)
\{4,-5,4\}
</math>
#<math>
\{-left(6,6,-2,3\}right)
</math>
#<math>
\{-5left(6,50,63\}right)
</math>
#<math>
\{5left(1,6,-40\}right)
</math>
#<math>
\{5,left(-6,4,56\}right)
</math>
#<math>
\left(-4,0,-4\right)
\{3,3,3\}
</math>
#<math>
\{left(-56,-32,4-2\}right)
</math>
#<math>
\{2left(-1,26,-41\}right)
</math>
#<math>
\left(5,4,4\right)
\{-4,-6,1\}
</math>
#<math>
\{6left(-5,0,-4\}right)
</math>
#<math>
\left(6,-6,-6\right)
\{2,2,0\}
</math>
#<math>
\{-1left(3,65,03\}right)
</math>
#<math>
\{-2,left(0,23,5\}right)
</math>
#<math>
\{left(-56,6,-4,-3\}right)
</math>
#<math>
\left(-2,-5,-3\right)
\{1,6,1\}
</math>
#<math>
\{6left(-1,-52,-63\}right)
</math>
#<math>
\{1left(0,6-3,-1\}right)
</math>
#<math>
\{-1left(2,5,-23\}right)
</math>
#<math>
\{-3left(6,16,41\}right)
</math>
#<math>
\{left(-14,-51,1\}right)
</math>
#<math>
\{left(-21,50,52\}right)
</math>
אוחזר מתוך "https://he.wikibooks.org/wiki/מתמטיקה_תיכונית/אלגברה_תיכונית/משוואות/משוואות_בשני_נעלמים_או_יותר/תרגילים/משוואות_לינאריות_רמה_ב"