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

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

Question:

Solve the following pair of linear equations by the substitution method.
√2x + √3y = 0
√3x - √8y = 0

Given:

√2x + √3y = 0
√3x - √8y = 0

To Find:

The values of x and y that satisfy both equations.

Formula:

Substitution method for solving linear equations.

Solution:

From the first equation, √2x + √3y = 0 ⇒ √2x = -√3y ⇒ x = -√3y√2
Substitute this value of x into the second equation: √3(-√3y√2) - √8y = 0
Simplifying, we get: -3y√2 - √8y = 0 ⇒ -3y√2 = 2√2y
-3y = 4y ⇒ 7y = 0 ⇒ y = 0
Substitute y = 0 into x = -√3y√2 ⇒ x = 0

Result:

x = 0, y = 0
© Kaliyuga Ekalavya. All rights reserved.

Comments

Post a Comment