observation a1 = a2= b1 = b2= c1 = c2=
Answers
Given : pair of linear equations in two variables.
a1 = a2= b1 = b2= c1 = c2
To Find : Number of Solutions
Solution:
The general form for a pair of linear equations in two variables x and y is
a₁x + b₁y + c₁= 0 and
a₂x + b₂y + c₂ = 0,
Where a₁, b₁, c₁, a₂ , b₂, c₂ are all real numbers and a₁² + b₁² ≠ 0, a₂² + b₂² ≠ 0.
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)
a1 = a2= b1 = b2= c1 = c2
=> a₁/a₂ = b₁/b₂ = c₁/c₂
Hence infinite solutions
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Answer:I don’t know anything
Step-by-step explanation: