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Solution - Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method

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ConceptAlgebraic Methods of Solving a Pair of Linear Equations - Substitution Method  

Question

The difference of two natural numbers is 3 and the difference of their reciprocals is 3/28 . Find the numbers

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Solve each of the following system of equations by eliminating x (by substitution) :

(i) x + y = 7 

2x – 3y = 11

(ii) x + y = 7 

12x + 5y = 7

(iii) 2x – 7y = 1

 4x + 3y = 15

(iv) 3x – 5y = 1

5x + 2y = 19

(v) 5x + 8y = 9

2x + 3y = 4

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Form the pair of linear equations for the following problems and find their solution by substitution method

The difference between two numbers is 26 and one number is three times the other. Find them.

 

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Solve the following systems of equations by eliminating ‘y’ (by substitution) :

(i) 3x – y = 3

7x + 2y = 20

(ii) 7x + 11y – 3 = 0

8x + y – 15 = 0

(iii) 2x + y = 0

17x – 11y – 8 = 0

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Solve the following pair of linear equations by the substitution method.

0.2x + 0.3y = 1.3

0.4x + 0.5y = 2.3

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Solve 2x + 3y = 11 and 2x – 4y = – 24 and hence find the value of ‘m’ for which y = mx + 3.

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Reference Material

Solution for concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method. For the course 8th-10th CBSE
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