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

Sequence and Series

MATRIX

 Exercise 4.2 Exercise 4.3

Coordinate Geometry

 Exercise 5.1 Exercise 5.2 Exercise 5.3 Exercise 5.4 Exercise 5.5

Geometry

Trigonometry

Mensuration

Statistics

Exercise 11.1

Probability

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: