Find p if 2x+3y-5=0 & px-6y-8=0 has unique solution.
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HI !
2x + 3y - 5 =0
a₁ = 2 , b₁= 3 , c₁ = -5
px - 6y - 8 = 0
a₂ = p , b₂ = -6 , c₂ = -8
As the equations have unique solution :
a₁/a₂ ≠ b₁/b₂
2/p ≠ 3/-6
2/p ≠ -1/2
-p ≠ 4
p ≠ 4
For all the values of p , except "4" , the given pair of equations have unique solution.
2x + 3y - 5 =0
a₁ = 2 , b₁= 3 , c₁ = -5
px - 6y - 8 = 0
a₂ = p , b₂ = -6 , c₂ = -8
As the equations have unique solution :
a₁/a₂ ≠ b₁/b₂
2/p ≠ 3/-6
2/p ≠ -1/2
-p ≠ 4
p ≠ 4
For all the values of p , except "4" , the given pair of equations have unique solution.
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