10. Pair of linear equation 8x + ky + 16 = 0 and 4x + 4y +4=0 has one and only one solution, then _______ is the value of unknown k.
Answers
Answered by
2
8
Step-by-step explanation:
8x+ky=-16_¡
4x+4y=-4_¡¡*2
Answered by
0
The value of 'k' is any value other than 8.
Given:
The pair of linear equations are
8x + ky + 16 = 0
4x + 4y +4 = 0
To find:
The value of unknown k.
Solution:
Condition Used: When two lines a₁x + b₁y + c₁ = 0 and a₂x + b₂y + c₂ = 0 have one solution then
a₁/a₂≠ b₁/b₂
The equation of the lines are
8x + ky + 16 = 0 ----- (1)
4x + 4y +4 = 0 ------ (2)
Since lines (1) and (2) have only one solution
=> a₁/a₂ ≠ b₁/b₂
=> 8/4 ≠ k/4
=> k ≠ 8
Therefore,
The value of 'k' is any value other than 8.
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