Question

If the lines given by 3x+2ky= 2 and 2x +5y = -1 are parallel, then find the value of k

Answer 1

3x/2x = 2ky/5y
3/2= 2k/5
3×5=2×2k
15/4 = k

Answer 2

Hi friend,

Here is your answer,
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3x + 2ky - 2 = 0               ;             2x + 5y + 1 = 0
a₁ = 3                                            a₂ = 2
b₁ = 2k                                          b₂ = 5
c₁ = -2                                           c₂ = 1

For parallel lines :-
 a₁  =  b₁  ≠  c₁ 
 a₂      b₂      c₂

3  =  2k  ≠  -2 
2       5        1

 15  = k
  4

k ≠ -5
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