Simultaneous Equations
Gbogbo ọrọ náà
Solving two linear equations together is familiar ground. Now one of the equations becomes non-linear, perhaps a curve such as a circle or a parabola. Geometrically you are finding where a straight line meets a curve, and there can be two crossing points, one (a tangent) or none.
In this lesson you will learn the reliable substitution method: rearrange the linear equation, substitute it into the non-linear one, and solve the quadratic that results. The classic example, a line meeting a circle, shows the whole process and connects neatly to coordinate geometry.
Ebumnobi
- Solve simultaneous equations in two unknowns by elimination or substitution, including cases with one linear and one non-linear equation.
Nkuzi Olu
Gee ntị na nkuzi a na ngwa
Maapụ uche
E seela isiokwu a ka ị hụ otu echiche si ejikọta.
Mepee maapụ uche na ngwa
Kaadị ncheta
Omume ncheta ngwa ngwa n'ihe a na-anwale n'isiokwu a.
Mee omume kaadị ndị a na ngwa
Akwụkwọ Ọmụmụ
Ndetu Nkuzi Zuru Ezu di na Ngwa Green Bridge
Nweta ngwa Green Bridge CBT na ekwenti gi ma o bu kompiuta maka ulo akwukwo IGCSE zuru oke: akwukwo ule ndi gara aga, usoro nyocha, eserese uche, kaadi omumu na nkuzi olu.
Nnyocha Ọmụmụ
Ekele diri gi maka imecha ihe karịrị na Simultaneous Equations. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- Solving y = x + 1 and x^2 + y^2 = 25 leads to which quadratic in x? A. x^2 + x - 12 = 0 B. x^2 - x - 12 = 0 C. 2x^2 + 25 = 0 D. x^2 + 1 = 25 Answer: A
- The points of intersection of y = x + 1 and x^2 + y^2 = 25 are: A. (4, 5) and (-3, -2) B. (-4, -3) and (3, 4) C. (0, 1) and (5, 6) D. (3, -4) and (-4, 3) Answer: B
- To solve one linear and one non-linear equation, the best first step is to: A. Add the two equations B. Square the linear equation C. Substitute the linear equation into the non-linear one D. Multiply the equations Answer: C
- Solving y = 2x - 1 and y = x^2 - 4 gives the x-values: A. 3 and -1 B. 1 and -3 C. 2 and -2 D. 4 and -1 Answer: A
- If a line meets a curve at exactly one point, the line is: A. A chord B. A tangent C. Parallel to an axis D. Outside the curve Answer: B
Rue ajuju ndi a n'ime ngwa ahu
Rue ajuju ndi a n'ime ngwa ahu
Akwụkwọ A Na-atụ Aro
Mụtakwuo ihe site na isi mmalite mepere emepe
-
Akụkụ akwụkwọ
Systems of Nonlinear Equations and Inequalities: Two Variables
Solve a system of nonlinear equations using substitution.
"Algebra and Trigonometry: Systems of Nonlinear Equations and Inequalities: Two Variables" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/11-3-systems-of-nonlinear-equations-and-inequalities-two-variables. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
Ndị otu ndị ọzọ bipụtara ha n'okpuru ikike mepere emepe, anyị na-ekele ha dị ka ha si chọọ. Njikọ na-emepe saịtị ha.
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Simultaneous Equations? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
Budata Ngwa Ahụ Na Google Playstore
Ihe nile ichoro iji nwee ihe ịga nke ọma na JAMB, WAEC & NECO.
