מתמטיקה תיכונית/אלגברה תיכונית/משוואות/משוואות בשני נעלמים או יותר/תרגילים/משוואות לינאריות רמה ב

משוואות לינאריות רמה ב

1. ${\begin{cases}y-x=3\\x-6y-5z=17\\-6x-4y-6z=46\end{cases}}$
2. ${\begin{cases}6x-y=14\\-5x+3y-z=-18\\-5x+6y+2z=-18\end{cases}}$
3. ${\begin{cases}-5x+y-5z=18\\2x+4y-6z=-32\\-2x-y-5z=4\end{cases}}$
4. ${\begin{cases}3x-4y+5z=36\\-6x-6y+4z=96\\4y-5z=-54\end{cases}}$
5. ${\begin{cases}2x-y-z=-2\\-4x-3y-3z=-36\\-5x+y+4z=5\end{cases}}$
6. ${\begin{cases}5x-y-z=8\\-5x-4y+3z=-39\\6x+4y+5z=17\end{cases}}$
7. ${\begin{cases}-5x-2z=-9\\-3x+2y-3z=3\\-6x-2y+4z=-10\end{cases}}$
8. ${\begin{cases}x+2y=-9\\2y-3z=-18\\6x-6y-2z=50\end{cases}}$
9. ${\begin{cases}6x-5y+5z=16\\-y-6z=9\\2x+5y-6z=-7\end{cases}}$
10. ${\begin{cases}6x-2y+z=-1\\-2x+2y+2z=-2\\2x+2y-2z=2\end{cases}}$
11. ${\begin{cases}-x+y-4z=8\\-6x+4y+2z=-16\\-3x-4y+6z=-54\end{cases}}$
12. ${\begin{cases}-x+3y+4z=6\\x-5y-z=3\\2x-3y+2z=18\end{cases}}$
13. ${\begin{cases}-6x+5y-6z=24\\-6x+2y+5z=6\\y+2z=6\end{cases}}$
14. ${\begin{cases}-x+y+2z=22\\-6x-2y+5z=58\\-5x+6y-5z=24\end{cases}}$
15. ${\begin{cases}6x-4y+2z=-32\\2x-6y+z=-12\\6x+5y-2z=-16\end{cases}}$
16. ${\begin{cases}5x+2y+4z=-34\\6y+6z=0\\2x-4y-z=-18\end{cases}}$
17. ${\begin{cases}4x-6y-6z=-34\\-2x-4y+4z=-26\\-3x-4y-4z=-17\end{cases}}$
18. ${\begin{cases}-6x-2z=-38\\-x-5y-4z=-41\\-4x-2z=-28\end{cases}}$
19. ${\begin{cases}5x+5y=-25\\2y+3z=12\\-2x-6y+6z=34\end{cases}}$
20. ${\begin{cases}3x+4y-z=0\\5x+4y+3z=-12\\-2y-4z=36\end{cases}}$
21. ${\begin{cases}-6x-6y-6z=-66\\x-y-4z=-14\\3x-3y-6z=-24\end{cases}}$
22. ${\begin{cases}6x-2y-5z=-31\\-x-2z=-10\\6x-y-z=-8\end{cases}}$
23. ${\begin{cases}-4x-3y+3z=-6\\-4x-5y+5z=-26\\-3x-5y+2z=-20\end{cases}}$
24. ${\begin{cases}-5x+6y+z=-23\\3x+4y-2z=-20\\4x-y+2z=-9\end{cases}}$
25. ${\begin{cases}-6x+2y+4z=-10\\-3x-4z=15\\3x-5y+5z=-8\end{cases}}$
26. ${\begin{cases}4z-5x=4\\3x-5y+4z=19\\-4x-y-z=2\end{cases}}$
27. ${\begin{cases}5z-5x=5\\-x+6y+4z=40\\4y+3z=29\end{cases}}$
28. ${\begin{cases}-5x-5y+z=-59\\6z-3x=-12\\5y-3z=27\end{cases}}$
29. ${\begin{cases}-3x+2y+z=11\\6x-5y-z=-20\\-2y-3z=-1\end{cases}}$
30. ${\begin{cases}6x=-6\\6x-6y+z=-4\\-2x+4y-z=0\end{cases}}$
31. ${\begin{cases}11x-6y+10z=-90\\-9x-10y+3z=137\\3x-8y-2z=88\end{cases}}$
32. ${\begin{cases}-7x+5y+6z=3\\-2x-7y+10z=-82\\11x-3y-4z=-59\end{cases}}$
33. ${\begin{cases}-9x-3y-10z=-38\\-6x-y-7z=-32\\10x+3y+7z=36\end{cases}}$
34. ${\begin{cases}-10x+11y+11z=-81\\7x-y-5z=54\\-3x+4y-3z=-18\end{cases}}$
35. ${\begin{cases}5x+9y=86\\4x-5y-7z=-20\\-3x+10y-6z=105\end{cases}}$
36. ${\begin{cases}-10x+10y-6z=-32\\11x-11y-3z=-32\\10x-4y+8z=94\end{cases}}$
37. ${\begin{cases}-7x+10y+3z=35\\-10x-6y+8z=-18\\z-5x=-21\end{cases}}$
38. ${\begin{cases}-9x+3y-8z=111\\3x-9y-2z=-81\\4x-8z=32\end{cases}}$
39. ${\begin{cases}7x-4y-6z=-7\\-9x-9y-10z=126\\-4x-2y-6z=76\end{cases}}$
40. ${\begin{cases}-9x+10y-9z=218\\9x-11y+7z=-209\\3x+5y-z=59\end{cases}}$
41. ${\begin{cases}7x+11y+11z=-126\\8x+6y-8z=-126\\-x+5y+3z=-32\end{cases}}$
42. ${\begin{cases}2x-y-6z=49\\-6x+9y-8z=193\\3x-10y-3z=-69\end{cases}}$
43. ${\begin{cases}-8x+y+7z=15\\10x+7y+7z=147\\-5x+6y+6z=31\end{cases}}$
44. ${\begin{cases}-4x+4y-9z=-13\\3x+8z=-26\\-3x-9y+z=44\end{cases}}$
45. ${\begin{cases}8x+5y-11z=-99\\9x+10y-11z=-90\\-11x-2y-6z=24\end{cases}}$
46. ${\begin{cases}-2x-2y+8z=68\\5x-2y-7z=-74\\5x+2y-3z=-26\end{cases}}$
47. ${\begin{cases}-9y-z=55\\8x-9y-5z=147\\10z-6x=-76\end{cases}}$
48. ${\begin{cases}-6x-y-3z=26\\3x+2y+7z=-31\\-2x+9y+8z=48\end{cases}}$
49. ${\begin{cases}-11x-10y+8z=-55\\7x-10y-6z=-15\\-4x+5y-5z=-2\end{cases}}$
50. ${\begin{cases}-9x+10y+3z=64\\-10y=-100\\-11x-7y+6z=-135\end{cases}}$

תשובות

1. $(-4,-1,-3)$
2. $(2,-2,2)$
3. $(-6,-2,2)$
4. $(-6,-6,6)$
5. $(3,4,4)$
6. $(2,5,-3)$
7. $(1,6,2)$
8. $(3,-6,2)$
9. $(1,-3,-1)$
10. $(0,0,-1)$
11. $(6,6,-2)$
12. $(6,0,3)$
13. $(1,6,0)$
14. $(-6,4,6)$
15. $(-4,0,-4)$
16. $(-6,2,-2)$
17. $(-1,6,-1)$
18. $(5,4,4)$
19. $(-5,0,4)$
20. $(6,-6,-6)$
21. $(3,5,3)$
22. $(0,3,5)$
23. $(-6,6,-4)$
24. $(-2,-5,-3)$
25. $(-1,-2,-3)$
26. $(0,-3,1)$
27. $(2,5,3)$
28. $(6,6,1)$
29. $(-4,-1,1)$
30. $(-1,0,2)$
31. $(-6,-11,-9)$
32. $(-9,0,-10)$
33. $(4,-6,2)$
34. $(7,0,-1)$
35. $(1,9,-3)$
36. $(7,8,7)$
37. $(6,5,9)$
38. $(-4,9,-6)$
39. $(-7,3,-9)$
40. $(-2,11,-10)$
41. $(-7,-9,2)$
42. $(-4,9,-11)$
43. $(7,1,10)$
44. $(10,-9,-7)$
45. $(-6,3,6)$
46. $(-1,3,9)$
47. $(11,-6,-1)$
48. $(-3,10,-6)$
49. $(3,3,1)$
50. $(1,10,-9)$