find the value of m for which system 3x+my=1,2x-7y=5 will have a unique solution
Answers
Given : 3x + my = 1, 2x – 7y = 5
To Find : Value of m for unique solution
Solution:
a₁x+ b₁y=c₁
a₂x+b₂y=c₂
Consistent
if a₁/a₂ ≠ b₁/b₂ ( unique solution)
a₁/a₂ = b₁/b₂ = c₁/c₂ ( infinite solution )
Inconsistent
if a₁/a₂ = b₁/b₂ ≠ c₁/c₂ ( No solution)
3x + my = 1
2x – 7y = 5
3/2 ≠ m/(-7)
=> m ≠ -21/2
=> m ≠ -10.5
m ≠ -10.5 will have a unique solution.
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Step-by-step explanation:
