Mathematics (US) - 0444 CIE

Systems Of Linear Equations In Two Variables

Akopọ

One equation with two unknowns has endless solutions; pair it with a second equation and the answer usually pins down to a single point. Solving a system of two linear equations means finding the one pair of values that satisfies both at once, the exact spot where two lines cross.

In this lesson you will solve systems of two linear equations in two variables using elimination and substitution, the two reliable algebraic methods. You will learn to choose the easier route for each problem and to check your answer in both original equations.

Awọn Afojusun

  1. Solve systems of two linear equations in two variables algebraically and (Extended) graphically.

Akọ̀wé Ẹ̀kọ́

Many real problems involve two unknowns linked by two conditions: the cost of two kinds of ticket, the speed of a boat and a current, a mix of two ingredients. A system of linear equations captures both conditions and solves them together, which is far more powerful than guessing.

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Oriire fun ipari ẹkọ lori Systems Of Linear Equations In Two Variables. Ni bayi ti o ti ṣawari naa awọn imọran bọtini ati awọn imọran, o to akoko lati fi imọ rẹ si idanwo. Ẹka yii nfunni ni ọpọlọpọ awọn adaṣe awọn ibeere ti a ṣe lati fun oye rẹ lokun ati ṣe iranlọwọ fun ọ lati ṣe iwọn oye ohun elo naa.

Iwọ yoo pade adalu awọn iru ibeere, pẹlu awọn ibeere olumulo pupọ, awọn ibeere idahun kukuru, ati awọn ibeere iwe kikọ. Gbogbo ibeere kọọkan ni a ṣe pẹlu iṣaro lati ṣe ayẹwo awọn ẹya oriṣiriṣi ti imọ rẹ ati awọn ogbon ironu pataki.

Lo ise abala yii gege bi anfaani lati mu oye re lori koko-ọrọ naa lagbara ati lati ṣe idanimọ eyikeyi agbegbe ti o le nilo afikun ikẹkọ. Maṣe jẹ ki awọn italaya eyikeyi ti o ba pade da ọ lójú; dipo, wo wọn gẹgẹ bi awọn anfaani fun idagbasoke ati ilọsiwaju.

  1. Solve 2x + y = 8 and x - y = 1. A. (3, 2) B. (2, 3) C. (1, 6) D. (4, 0) Answer: A
  2. Solve y = 2x - 1 and 3x + y = 9. A. (3, 2) B. (2, 3) C. (1, 1) D. (2, 5) Answer: B
  3. To eliminate y from x + y = 5 and x - y = 1, you should: A. Add the equations B. Subtract the equations C. Multiply them D. Square them Answer: A
  4. The solution of a system of two linear equations represents: A. The midpoint of two lines B. Where the two lines cross C. The gradient of a line D. The y-intercept Answer: B
  5. Solve x + y = 7 and x - y = 3. A. (5, 2) B. (2, 5) C. (4, 3) D. (3, 4) Answer: A

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

O wa lori ohun elo Green Bridge

Gba ohun elo Green Bridge CBT sori foonu tabi kọmputa rẹ lati ri awọn akọsilẹ ẹkọ ni kikun, awọn ibeere adaṣe, ati diẹ sii.

Awọn akọsilẹ ẹkọ ni kikun pẹlu awọn aworan apejuwe
Oluranlọwọ ẹkọ ti AI ṣe agbara rẹ
Kọ ẹkọ laisi intanẹẹti, nigbakugba, nibikibi
O wa lori Android, Windows, macOS, ati Linux

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Ṣe o fẹ ṣe adaṣe awọn ibeere idanwo adaṣe nipa Systems Of Linear Equations In Two Variables? Ṣe igbasilẹ ohun elo Green Bridge CBT lati wọle si awọn ibeere idanwo adaṣe ati awọn ayẹwo adaṣe kikun fun koko-ọrọ yii.

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