ELIMINATION METHOD WORKSHEETS

About "Elimination method worksheets"

Elimination method worksheets :

Here 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.

Elimination method examples

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

Related topics

• Solve by graphing method
• Solve by substitution
  
• Synthetic Division
• Rational Expressions
• Rational Zeros Theorem
• LCM -Least Common Multiple
• GCF-Greatest Common Factor
• Simplifying Rational Expressions
• Factoring Polynomials
• Factoring a Quadratic Equation
• Factoring Worksheets
• Framing Quadratic Equation From Roots
• Framing Quadratic Equation Worksheet
• Remainder Theorem
• Relationship Between Coefficients and roots
• Roots of Cubic equation
• Roots of Polynomial of Degree4
• Roots of Polynomial of Degree5

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