INTRODUCTION TO LINEAR EQUATIONS

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Presentation transcript:

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.

Solving linear equations in one variable Solving a linear equation means to plot the ordered pairs of input values and their corresponding output values on a plane. The solutions of a linear equation produces a line on a plane. This 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

Example one Find two solutions of the equation : y =2x+3 a) (0, 3) and (-1.5, 0) b) (1,5) and (-2, -1) c) (3,0) and (0,2) d) none of these

Solution of Example 1 The question was easy to solve by just using the input value for x and then solving the equation for y. The following process shows deeply what we should do in these type …….. PLEASE CLICK NEXT TO SEE THE SOLUTION AND CHECK YOUR ANSWER

Process y = 2x + 3 x: 0 1 2 3 4 5 y: 3 5 7 9 11 12 As we input values into x, we gain values for y. The independent variable is x, and the dependent variable is y

PROCESS 1

PROCESS 2

EXAMPLE 2 Find the solutions to the equation : y =3x + 9 create some ordered pairs to choose from a) -1 b) 1 c) 3 d) 4

CLICK NEXT

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

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

Here we go…………

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

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

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

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