ELIMINATION METHOD WORKSHEETS

In this page elimination method worksheets we are going to see some practice questions of the topic elimination method. You can also find solution for each problems with detailed explanation.

Definition:

A ordered pair (x₁,y₁) s called a solution to a linear system in two variables if the values x = x₁ and y = y₁ satisfy all the equations in the system.

Procedure for elimination-method:

(i) Multiply or divide the members of the equations by such number as to make the coefficients of the unknown to be eliminates numerically equal.  elimination method worksheets

(ii) Then,eliminate by addition if the resulting coefficients have unlike signs by subtraction if they have like signs.

For example if we have 2x in the first equation and 6 x in the second equation we have to multiply the first equation by 3 to make it as 6x like the second equation. Now we have 6x in both equation,so we can subtract them for eliminating x term.

Solve each of the following system of equations by elimination-method.

  • x + 2 y = 7 , x – 2 y = 1     Solution
  • 3 x + y = 8 , 5 x + y = 10    Solution
  • x + y/2 = 4 , x / 3 + 2 y = 5   Solution
  • 11 x - 7 y = x y , 9 x - 4 y = 6 x y   Solution
  • 3/y + 5/x = 20/x y , 2/x + 5/ y = 15/x y   Solution
  • 8 x – 3 y = 5 x y , 6 x – 5 y = -  2 x y    Solution
  • 13 x+ 11 y = 70 ,11 x + 13 y = 74     Solution
  • 65 x – 336 y = 97 , 33 x – 65 y = 1     Solution
  • 15/ x + 2/y = 17 , 1/x + 1/y = 36/5  Solution
  • 2/x + 2/3y  = 1/6,3/x + 2/y = 0    Solution

Sets and Functions

Exercise 1.1

Exercise 1.2

Exercise 1.3

Exercise 1.4

MATRIX

Exercise 4.1

Exercise 4.2

Exercise 4.3

Coordinate Geometry

Mensuration

Statistics

Exercise 11.1


Quote on Mathematics   elimination method worksheets

“Mathematics, without this we can do nothing in our life. Each and everything around us is math.

Math is not only solving problems and finding solutions and it is also doing many things in our day to day life.  They are: 

It subtracts sadness and adds happiness in our life.    

It divides sorrow and multiplies forgiveness and love.

Some people would not be able accept that the subject Math is easy to understand. That is because; they are unable to realize how the life is complicated. The problems in the subject Math are easier to solve than the problems in our real life. When we people are able to solve all the problems in the complicated life, why can we not solve the simple math problems?

Many people think that the subject math is always complicated and it exists to make things from simple to complicate. But the real existence of the subject math is to make things from complicate to simple.”

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