Explain the required condition for existing infinite solutions to a pair of linear equations, in your own
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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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