Mathematics Specification A - 4MA1 PearsonEdexcel

Simultaneous Linear Equations

Gbogbo ọrọ náà

Some problems involve two unknowns connected by two conditions. A pair of simultaneous equations captures both conditions at once, and solving the system gives the unique values that satisfy both. This is one of the most useful algebraic techniques in the specification.

You will learn two methods for solving linear simultaneous equations: elimination and substitution. Higher-tier students also connect the algebra to the point where two straight lines cross on a graph.

Ebumnobi

  1. Calculate the exact solution of two simultaneous equations in two unknowns
  2. [Higher] Interpret the equations as lines and the common solution as the point of intersection

Akọmọ Ojú-ẹkọ

If one apple and one banana cost 1.50, knowing just that is not enough to find the price of each fruit: an apple at 1.00 and a banana at 0.50 fit that clue just as well as an apple at 0.80 and a banana at 0.70. But if two apples and one banana cost 2.20, now you have two equations and can solve for both prices uniquely. That is the idea behind simultaneous equations.

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na Simultaneous Linear 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.

  1. Solve: x + y = 10 and x - y = 4. What is x? A) 3 B) 7 C) 6 D) 8 Answer: B
  2. Which method is best when one equation is y = 3x + 2? A) Trial and improvement B) Elimination C) Substitution D) Graphical Answer: C
  3. Solve: 2x + y = 8 and x + y = 5. What is y? A) 2 B) 3 C) 5 D) 1 Answer: A
  4. Two lines intersect at (3, 4). This means: A) The lines are parallel B) x = 3 and y = 4 satisfy both equations C) The gradient of both lines is 3 D) There is no solution Answer: B
  5. If 3a + 2b = 19 and a = 3, what is b? A) 3 B) 4 C) 5 D) 6 Answer: C

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Ọ dị na ngwa Green Bridge

Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.

Akwụkwọ ndụmọdụ zuru oke nwere eserese
Onye inyeaka mmụta AI
Mụọ n'ụzọ na-enweghị ịntaneti, oge ọbụla, ebe ọbụla
Ọ dị na Android, Windows, macOS, na Linux

Meecha Ajụjụ Ule Ọmarịcha

Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Simultaneous Linear Equations? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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