# 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 5 and the difference of their reciprocals is 1/10. Find the numbers

#### Solution

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#### Similar questions

A fraction becomes 9/11 if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes 5/6 . Find the fraction.

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The difference of two natural numbers is 5 and the difference of their reciprocals is 5/14. 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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If the point A(3, 2) lies on the graph of the equation 5x + ay = 19, then find a.

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