For what value of k, the system of equations kx + 2y = 2

Home » Aptitude » Algebra » Question

For what value of k, the system of equations kx + 2y = 2 and 3x+ y = 1 will be coincident?

1. 2
2. 3
3. 5
4. 6

Correct Option: D

a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 will be coincident if

a₁	=	b₁	=	c₁
a₂	=	b₂	=	c₂

⇒	k	=	2	=	2
	3		1		1

⇒ k = 3 × 2 = 6
The system of equations has infinite solutions.