OP Malhotra Simultaneous Linear Equations Class-9 S.Chand ICSE Maths Ch-5

OP Malhotra Simultaneous Linear Equations in two variable Class-9 S.Chand ICSE Maths Ch-5. We Provide Step by Step Answer of Exe-5(a), Exe-5(b), with Chapter Test of S Chand OP Malhotra Maths . Visit official Website CISCE  for detail information about ICSE Board Class-9.

OP Malhotra Simultaneous Linear Equations in two variable Class-9 S.Chand ICSE Maths Ch-5

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-: Select Topics :-

Exercise-5(a)

Exercise-5(b)

Chapter Test

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Exercise-5

OP Malhotra Simultaneous Linear Equations in two variable Class-9 S.Chand ICSE Maths Ch-5

How to Slove Simultaneous Linear Equations:

Up to now we have solved equations with only one unknown variable. When solving for two unknown variables, two equations are required and these equations are known as simultaneous equations. The solutions are the values of the unknown variables which satisfy both equations simultaneously. In general, if there are n unknown variables, then n independent equations are required to obtain a value for each of the n variables.

An example of a system of simultaneous equations is :

4y + 3x = 100

4y – 19x = 12

We have two independent equations to solve for two unknown variables. We can solve simultaneous equations algebraically using substitution and elimination methods which we shall discuss in this topic

System of simultaneous linear equations :

• A pair of linear equations in the same two variables form a system of simultaneous linear equations
• They are satisfied by the same pair of values of the two variables
• Two linear equations can have either only one solution, no solution or infinite solution

• The solution can be found by assuming the value of one of the variable and then proceed to find the other solution.
• There are infinitely many solutions for a single linear equation in two variables.

Solutions of Linear equation in 2 variables on a graph :

• A linear equation ax+by+c=0 is represented graphically as a straight line.
• Every point on the line is a solution for the linear equation.
• Every solution of the linear equation is a point on the line.

Lines passing through the origin :

• Certain linear equations exist such that their solution is (0, 0). Such equations when represented graphically pass through the origin.
• The coordinate axes namely x-axis and y-axis can be represented as y=0 and x=0, respectively.

Lines parallel to coordinate axes :

• Linear equations of the form y=a, when represented graphically are lines parallel to the x-axis and a is the y-coordinate of the points in that line.
• Linear equations of the form x=a, when represented graphically are lines parallel to the y-axis and a is the x-coordinate of the points in that line.

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Exercise-5.(a)

OP Malhotra Simultaneous Linear Equations in two variable Class-9 S.Chand ICSE Maths Ch-5

Question 1:

If (5, k) is a solution of the equation 2x + y – 7 = 0 find the value of k.

Question 2:

……………………….

…………………………

……………………………

Question 14:

(a) 65x …………………

(b) 23x …………………..

Question 23:

Can the following ………………………… simultaneously ?

Question 24:

……………..

…………………..

Question 25:

The sides of an equilateral triangle are ……………………………….  Find the length of each side.

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Exercise-5.(b)

OP Malhotra Simultaneous Linear Equations in two variable Class-9 S.Chand ICSE Maths Ch-5

Question 1:

If one number is thrice the other and their sum is 16, find the number

Question 2:

…………………………

……………………….

………………………..

Question 9:

If the ………………………………….  Find the frication.

Question 10:

…………………………

…………………………

………………………….

Question 18:

The cost of 5 pencil …………………………… and an eraser.

Question 25:

In a triangle ………………………. the angles.

Question 30:

Satish and ashok …………………………….. of them walks.

Question 32:

A man travels 600 km partly by train and partly by car. If he cover 400 km by train and ……………………………….. of the car.

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Chapter Test

OP Malhotra Simultaneous Linear Equations in two variable Class-9 S.Chand ICSE Maths Ch-5

Solve :

Question 1:

y + 2x = 5

3y – 5x = 4

Question 2:

…………………………..

…………………………..

…………………………

Question 9:

What is the sum …………………………… number is 4 ?

Question 10:

Two number are in the ratio 2 : 3 . if 19 is added to each number, they will be in the ratio 3 : 4 . What is the product of the two numbers?

— : End of Simultaneous Linear Equations in two variable OP Malhotra S Chand Solutions :–

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Return to :–   OP Malhotra S Chand Solutions for ICSE Class-9 Maths

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