Question

explain the system of linear equal in two variables and their graphs

Answer 1

Answer:

general form of a pair of linear eq.ⁿ in two variables:

p₁(x,y)=a₁x+b₁y+c₁=0

p₂(x,y)=a₂x+b₂y+c₂=0

Consistent:

(1) a₁/a₂≠b₁/b₂ (Intersecting lines)

(2) a₁/a₂=b₁/b₂=c₁/c₂ (Conincident lines)

Inconsistent:

(3) a₁/a₂=b₁/b₂≠c₁/c₂ (Parallel lines)

The graph of the pair of equations represents its nature of it being consistent or inconsistent. The coordinates of the line of the equations can be found by putting various value of x and y in the eq.ⁿ