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
- Calculate the exact solution of two simultaneous equations in two unknowns
- [Higher] Interpret the equations as lines and the common solution as the point of intersection
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Akwụkwọ Ọmụmụ
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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 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.
- Solve: x + y = 10 and x - y = 4. What is x? A) 3 B) 7 C) 6 D) 8 Answer: B
- Which method is best when one equation is y = 3x + 2? A) Trial and improvement B) Elimination C) Substitution D) Graphical Answer: C
- Solve: 2x + y = 8 and x + y = 5. What is y? A) 2 B) 3 C) 5 D) 1 Answer: A
- 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
- If 3a + 2b = 19 and a = 3, what is b? A) 3 B) 4 C) 5 D) 6 Answer: C
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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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