# 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

If x + y = 5 and x = 3, then find the value of y.

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

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

The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them.

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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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The taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is Rs 105 and for a journey of 15 km, the charge paid is Rs 155. What are the fixed charges and the charge per km? How much does a person have to pay for travelling a distance of 25 km?

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