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INTRODUCTION TO LINEAR EQUATIONS

INTRODUCTION TO LINEAR EQUATIONS . What are linear equations ? This is the most common question that stands in the mind of a beginner in the topic “LINEAR EQUATIONS” . The answer to this question is following :

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INTRODUCTION TO LINEAR EQUATIONS

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  1. INTRODUCTION TO LINEAR EQUATIONS • What are linear equations ? This is the most common question that stands in the mind of a beginner in the topic “LINEAR EQUATIONS” . The answer to this question is following : • An integral equation of the first degree is known as simple equation or a linear equation.

  2. Solving linear equations in one variable • Solving an equation means to find the value of the variable that is present in the equation • We can solve linear equations by several processes • These can only be understood by more practice and solving examples as much as possible . Let us have a look to this question in the next slide

  3. Example one • Find the solution of the equation : 2x+3 = 9 a) 3 b) 2 c) 4 d) none of these

  4. Solution of Example 1 • The question was easy to solve by just transposing and then dividing both sides .. The following process shows deeply what we should do in these type …….. PLEASE CLICK NEXT TO SEE THE SOLUTION AND CHECK YOUR ANSWER

  5. PROCESS 1

  6. PROCESS 2

  7. EXAMPLE 2 • Find the solution of the equation : 3y + 9 = 6 a) -1 b) 1 c) 3 d) 4

  8. CLICK NEXT

  9. It is given that : 3y + 9 = 6 Transposing 9 to RHS we get : 3y = 6 – 9 3y = -3 Dividing both sides by 3 3y/3 = -3/3 y = -1 ANSWER is -1

  10. LET US HAVE A QUIZ ON THIS TOPIC • Be ready • Time : 1 minute • Hint : do it orally • Method : trial and error • Best of luck • Like if it is written 4/5 than understand it as ⅘

  11. Here we go…………

  12. Q.1 • If x = 2 then which of the following equations are right ? a) 2x + 4 = 7 b) 3x + 3 = 9 c) 4x/3 + 15/2 = 9 d) none of these

  13. Time over……… • Did you get your answer ? • Check it ! The answer is 2nd option • Move to the next question

  14. Q.2 • Find the solution of the equation : 4x/3 + 9 = 7x/5 • -135 • 135 • 120 • -120

  15. Time over………. • The answer is b) 135 . Answer is there in last see that

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