Question

observation a1 = a2= b1 = b2= c1 = c2= ​

Answer 1

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

Learn More:

A pair of linear equations 111 2 2 2 ax by c ax by c + += + += 0, 0 is ...

brainly.in/question/18461075

If ax2+bx+c and bx2+ax+c have a common factor x+1 then show that ...

brainly.in/question/11220575

Answer 2

Answer:I don’t know anything

Step-by-step explanation: