Transcript Slide 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.
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
1) 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
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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
a)
b)
c)
d)
-135
135
120
-120
Time over……….
• The answer is b) 135 . Answer is there in last
see that