Show that the sys

Given: - x + 2y + 2 = 0 and

To Prove: The system of given equations has a unique solution.

Proof:

We know that the general form for a pair of linear equations in 2 variables x and y is a₁x + b₁y + c₁ = 0

and a₂x + b₂y + c₂ = 0.

Comparing with above equations,

we have a₁ = - 1,

b₁ = 2,

c₁ = 2;

a₂ = 1/2 ,

b₂ = - 1/2

c₂ = - 1

Since

The lines are intersecting.

The system of given equations have a unique solution.