Question

Show that the following systems of equations is inconsistent. 

2x + 3y = 5; 

6x + 9y = 10.

Answer 1

To prove: Set of given lines are inconsistent. 

Given set of lines are : - 

2x + 3y = 5 

6x + 9y = 10 

Converting the following equations in matrix form, 

AX = B

Again converting into equation form, we get 

2x + 3y = 5 

0x + 0y = - 5 

∴ 0 = - 5 

which is not true 

∴ 2x + 3y = 5 

6x + 9y = 10 are inconsistent.