for what values of m the pair of equations 3x+my=10 and 9x+12y=30 have a unique solution?
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Answered by
42
unique solution = a1/a2 is not equal to b1/b2
3x +my -10=0 ,9x+12y-30=0
a₁ =3 a₂=9 ,b₁=m ,b₂=12 ,c₁ =-10,c₂ =-30
a₁/a₂≠b₁/b₂
=3/9 ≠m/12
=12×3 ≠9m ( cross mutlipilcation)
=36 ≠9m
=m≠ -4
3x +my -10=0 ,9x+12y-30=0
a₁ =3 a₂=9 ,b₁=m ,b₂=12 ,c₁ =-10,c₂ =-30
a₁/a₂≠b₁/b₂
=3/9 ≠m/12
=12×3 ≠9m ( cross mutlipilcation)
=36 ≠9m
=m≠ -4
Answered by
10
Answer:
m≠4
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