The graphical representation of pair of linear equations a1x + b1y + c1 = 0 and
a2x +b2y + c2 = 0 are parallel lines. How many solutions do these equations have?
Answers
Given : The graphical representation of pair of linear equations
a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 area parallel lines
To Find : . How many solutions do these equations have?
Solution:
Pair of linear equations
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Consistent
if a₁/a₂ ≠ b₁/b₂ (unique solution and lines intersects each others)
a₁/a₂ = b₁/b₂ = c₁/c₂ (infinite solutions and line coincide each other )
Inconsistent
if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution , lines are parallel to each other)
The graphical representation of pair of linear equations
a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 area parallel lines
Hence they never meet each other
so there is no solution
ZERO Solution / No solutions
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Answer:
Given : The graphical representation of pair of linear equations
a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 area parallel lines
To Find : . How many solutions do these equations have?
Solution:
Pair of linear equations
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Consistent
if a₁/a₂ ≠ b₁/b₂ (unique solution and lines intersects each others)
a₁/a₂ = b₁/b₂ = c₁/c₂ (infinite solutions and line coincide each other )
Inconsistent
if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution , lines are parallel to each other)
The graphical representation of pair of linear equations
a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 area parallel lines
Hence they never meet each other
so there is no solution
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Step-by-step explanation: