Q3 of 227 Page 114

The system of equations x –4y = 8 , 3x –12y = 24

Given: system of equations x –4y = 8 , 3x –12y = 24

Here,

a₁ = 1, b₁ = -4, c₁ = 8 and a₂ = 3, b₂ = -12, c₂ = 24

Now,

, ,

Here, we can clearly see that which is the condition for infinitely many solutions.

∴ The system of equations have infinitely many solutions.

∴ Correct option is – Option (A)

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