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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WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations 

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Word problems on quadratic equations

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Word problems on direct variation and inverse variation 

Word problems on unit price

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Word problems on comparing rates

Converting customary units word problems 

Converting metric units word problems

Word problems on simple interest

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Markup and markdown word problems 

Decimal word problems

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Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed 

Word problems on sum of the angles of a triangle is 180 degree

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Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

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Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6