He aha ka hoohalike: wehewehe, hoʻonā, nā laʻana

Ma kēia hoʻolaha, e nānā kākou i ke ʻano o ka hoohalike, a me ke ʻano o ka hoʻoponopono ʻana. Hoʻopili pū ʻia nā ʻike kuʻuna i hōʻike ʻia me nā laʻana kūpono no ka hoʻomaopopo maikaʻi ʻana.

maʻiʻo

Wehewehe hoohalike

Ke kaulike ʻo ia, aia ka helu ʻike ʻole e loaʻa.

Hōʻike pinepine ʻia kēia helu e kahi leka Latin liʻiliʻi (ʻo ka pinepine - x, y or z) a ua kapaia uila hoohalike.

I nā huaʻōlelo ʻē aʻe, ʻo ke kaulike he hoʻohālikelike wale nō inā loaʻa ka leka nona ka waiwai āu e makemake ai e helu.

Nā laʻana o nā hoohalike maʻalahi (hoʻokahi ʻike ʻole a hoʻokahi hana helu):

  • x + 3 = 5
  • a – 2 = 12
  • z + 10 = 41

Ma nā hoʻohālikelike paʻakikī, hiki ke hoʻololi i kekahi mau manawa, a loaʻa pū kekahi i nā pale a me nā hana makemakika paʻakikī. ʻo kahi laʻana:

  • 2x + 4 – x = 10
  • 3 (y – 2) + 4y = 15
  • x2 +5 = 9

Eia kekahi, hiki ke loaʻa nā ʻano like ʻole i ka hoohalike, no ka laʻana:

  • x + 2y = 14
  • (2x – y) 2 + 5z = 22

Ke kumu o ka hoohalike

E ʻōlelo kākou he hoohalike 2x + 6 = 16.

Huli i ke kaulike maoli ke x = 5. ʻO kēia waiwai (helu). ke kumu o ka hoohalike.

E hoʻoholo i ka hoohalike - ʻo ia hoʻi ka ʻimi ʻana i kona aʻa a i ʻole nā ​​aʻa (e pili ana i ka helu o nā mea hoʻololi), a i ʻole ka hōʻoia ʻana ʻaʻole lākou.

ʻO ka maʻamau, kākau ʻia ke kumu penei: x = 3. Inā nui nā aʻa, ua hoʻokaʻawale ʻia lākou e nā koma, no ka laʻana: x1 = 2, x2 =-5.

Notes:

1. ʻAʻole hiki ke hoʻonā ʻia kekahi mau hoohalike.

ʻo kahi laʻana: 0 · x = 7. ʻO kēlā me kēia helu a mākou e pani ai x, ʻaʻole ia e hana e loaʻa ka kaulike kūpono. Ma keia hihia, penei ka pane: "ʻaʻohe kumu o ka hoohalike."

2. He helu pau ole ko kekahi mau hoohalike.

ʻo kahi laʻana: a = a. I kēia hihia, ʻo ka hoʻonā ʻana i kekahi helu, ʻo ia hoʻi x ∈ R, x ∈ Z, x ∈ Nkahi N, Z и R he mau huahelu maoli, integer a me na huahelu maoli.

Nā Kaulike Kaulike

Ua kapaia na hoohalike me na kumu like like me.

ʻo kahi laʻana: x + 3 = 5 и 2x + 4 = 8. No nā hoohalike ʻelua, ʻo ka hopena ka helu ʻelua, ʻo ia hoʻi x = 2.

Hoololi like kumu o na hoohalike:

1. ʻO ka hoʻololi ʻana o kekahi huaʻōlelo mai kekahi ʻāpana o nā hoohalike a i kekahi me ka hoʻololi ʻana i kona hōʻailona i ka ʻaoʻao.

ʻo kahi laʻana: 3x + 7 = 5 like me 3x + 7 – 5 = 0.

2. Ka hoonui / puunaue o na mahele elua o ka hoohalike me ka helu hookahi, aole i like me ka ole.

ʻo kahi laʻana: 4x - 7 = 17 like me 8x - 14 = 34.

ʻAʻole hoʻi e loli ka hoʻohālikelike inā hoʻohui ʻia a unuhi ʻia ka helu like i nā ʻaoʻao ʻelua.

3. Hoemi i na huaolelo like.

ʻo kahi laʻana: 2x + 5x – 6 + 2 = 14 like me 7x - 18 = 0.

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