Question

Does the following pair of equations have no solution? Justify your answer. 4m – 11n = 15 ; 5m + 3n = 2

Answer 1

No this equation have no solution this is unique solution

Answer 2

Hey there !!

4m -11 n = 15
4m -11n - 15 = 0

here ,
a₁ = 4
b₁ = -11


5m + 3n = 2
5m + 3 n - 2 = 0

here ,
a₂ = 5
b₂ = 3

so ,
a₁/a₂ = 4/5
b₁/b₂ = -11/3

a₁/a₂  ≠ b₁/b₂

hence ,
the linear equations have unique solution [ 1 solution ]