3x – y = 1, 4x + y = 6

Question

Solve the equation by reduction method :

3x – y = 1, 

4x + y = 6

Answer 1

Given,

3x – y = 1, 

4x + y = 6

The given equations can be written in the matrix form as :

By equality of matrices, 

12x – 4y = 4 … (1) 

7y = 14 … (2) 

From (2), 

y = 2 

Substituting y = 2 in (1), we get, 

12x – 8 = 4 

∴ 12x = 12 

∴ x = 1 

Hence,

x = 1, y = 2 is the required solution.