Indawo yokuphambana kwemigqa emibili

Kule ncwadi, sizocubungula ukuthi iyini iphuzu lokuhlangana kwemigqa emibili, nokuthi ungathola kanjani izixhumanisi zayo ngezindlela ezahlukene. Sizophinde sihlaziye isibonelo sokuxazulula inkinga kulesi sihloko.

Okuqukethwe

Ukuthola izixhumanisi zephoyinti lokuhlangana

ukuhlangana Imigqa enephuzu elilodwa elivamile ibizwa ngokuthi.

Indawo yokuphambana kwemigqa emibili

M indawo yokuphambana kwemigqa. Ingowazo zombili, okusho ukuthi izixhumanisi zayo kufanele ngesikhathi esisodwa zanelise zombili izibalo zazo.

Ukuze uthole izixhumanisi zaleli phuzu endizeni, ungasebenzisa izindlela ezimbili:

  • graphic - dweba amagrafu emigqa eqondile endizeni exhumanisayo futhi uthole indawo yokuhlangana (akusebenzi ngaso sonke isikhathi);
  • ukuhlaziya kuyindlela evamile. Sihlanganisa izilinganiso zemigqa zibe isistimu. Bese siyixazulula futhi sithole izixhumanisi ezidingekayo. Ukuthi imigqa iziphatha kanjani ngokuhloniphana kuncike enanini lezixazululo:
    • isisombululo esisodwa - ukuhlangana;
    • isethi yezixazululo ziyafana;
    • azikho izixazululo - parallel, okungukuthi ungaphambanisi.

Isibonelo senkinga

Thola izixhumanisi zephoyinti lokuphambana kwemigqa y=x+6 и y = 2x - 8.

Isixazululo

Masenze isistimu yezibalo futhi siyixazulule:

Indawo yokuphambana kwemigqa emibili

Ku-equation yokuqala, siveza x nge y:

x = y - 6

Manje sishintsha isisho esiwumphumela sibe isibalo sesibili esikhundleni sokuthi x:

y = 2 (y – 6) – 8

y = 2y - 12 - 8

y – 2y = -12 – 8

-y = -20

y = 20

Ngakho, x = 20 – 6 = 14

Ngakho, iphuzu elivamile lokuphambana kwemigqa enikeziwe linezixhumanisi (14, 20).

shiya impendulo