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Solve the following pair of linear equations by the substitution method x + y = 14, x – y = 4 - Mathematics

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Solve the following pair of linear equations by the substitution method

x + y = 14 

x – y = 4

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Solution

x + y = 14 (1)

x - y = 4 (2)

From (1), we obtain

x = 14 - y (3)

Substituting this value in equation (2), we obtain

(14 - y) - y = 4

14 - 2y = 4

10 = 2y

y = 5  (4)

Substituting this in equation (3), we obtain

x  = 9  

∴ x = 9, y = 5

 
Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method
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APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.3 | Q 1.1 | Page 53
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