Question

explain the required condition for existing infinite solutions to a pair of linear equations in your own words​

Answer 1

Conditions for Infinite Solution

If the two lines have the same y-intercept and the slope, they are actually in the same exact line. In other words, when the two lines are the same line, then the system should have infinite solutions.

Answer 2

Given :  infinite solutions to a pair of linear equations

To Find : required condition for infinite solutions

Solution:

Equation in the form

x/a  + y/b  = 1  

a & b will have same vales for infinite solutions

=> x intercept and y intercept would be same

Equation in form

y  =  mx  + b

m & b  would be same

=> Slope  and  y intercept would be same

a₁x  +  b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

a₁/a₂ = b₁/b₂ = c₁/c₂    

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