NCERT Class X Chapter 3: Pair of Linear Equations In Two Variables Exercise 3.2 Question 1(i)

Question:

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

Given:

x + y = 14 ...(1)
x – y = 4 ...(2)

To Find:

The values of x and y that satisfy both equations.

Formula:

Substitution method: Solve one equation for one variable, substitute into the other equation.

Solution:

From equation (2): x = y + 4

Substitute x = y + 4 into equation (1): (y + 4) + y = 14 ⇒ 2y + 4 = 14 ⇒ 2y = 10 ⇒ y = 5

Substitute y = 5 into x = y + 4: x = 5 + 4 ⇒ x = 9

Result:

Therefore, x = 9 and y = 5

Next question solution:

NCERT Class X Chapter 3: Pair of Linear Equations In Two Variables Exercise 3.2 Question 1(ii)

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