Réitigh {l}{x+y+z=6}{2x+4y+z=13}{-x-y+z=0} | Réiteoir Mata Microsoft

Scipeáil chuig an bpríomhábhar

Réitigh do x,y,z.

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5 fadhbanna cosúil le:

Fadhbanna den chineál céanna ó Chuardach Gréasáin

https://math.stackexchange.com/questions/236154/linear-equations-under-modulo

https://math.stackexchange.com/questions/2201345/how-to-find-the-number-of-solutions-to-a-system-of-equations-with-one-parameter

https://math.stackexchange.com/questions/771532/solve-the-following-system-of-linear-equations-for-any-values-of-real-parameter

https://math.stackexchange.com/questions/741524/find-the-values-of-k-that-make-this-system-inconsistent-with-unique-solution

https://math.stackexchange.com/questions/1131947/find-the-value-of-k-if-any-for-which-the-system-below-has-unique-infinite-o

Roinn

Cóipeáladh go dtí an ghearrthaisce

x=-y-z+6

Réitigh x+y+z=6 do x.

2\left(-y-z+6\right)+4y+z=13 -\left(-y-z+6\right)-y+z=0

Cuir -y-z+6 in ionad x sa dara agus sa tríú cothromóid.

y=\frac{1}{2}+\frac{1}{2}z z=3

Réitigh na cothromóidí seo do y agus z faoi seach.

y=\frac{1}{2}+\frac{1}{2}\times 3

Cuir 3 in ionad z sa chothromóid y=\frac{1}{2}+\frac{1}{2}z.

y=2

Ríomh y ó y=\frac{1}{2}+\frac{1}{2}\times 3.

x=-2-3+6

Cuir 2 in ionad y agus 3 in ionad z sa chothromóid x=-y-z+6.

x=1

Ríomh x ó x=-2-3+6.

x=1 y=2 z=3

Tá an córas réitithe anois.

Samplaí

Cothromóid chearnach

Cothromóid líneach

Cothromóid chomhuaineach