Question

Solve graphically the following system of linear equations if it has unique solution:

2x - 6y + 10 = 0
3x - 9y + 15 = 0

Answer 1

The given pair of linear equations is

2x – 6y + 10 = 0

and 3x – 9y + 15 = 0

On comparing the given equations with standard form of pair of linear equations i.e. a₁ x + b₁y + c₁ = 0 and a₂ x + b₂y + c₂ = 0, we get

a₁ = 2, b₁ = – 6 and c₁ = 10

and a_{2 =} 3, b₂ = – 9 and c₂ = 15

The lines representing the given pair of linear equations will coincide.