# 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 the point (3, 2) lies on the graph of the equation 5x + ay = 19, then find a.

#### Solution

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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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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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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

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(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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Solution for concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method. For the course 9th - 10th SSC (English Medium)
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