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For what value of k the following has no solutions 2x+3y=5,6x+ky=15

Posted by Soniya Nathani 5 years, 6 months ago

CBSE > Class 10 > Mathematics

2 answers

Manvi Jain 5 years, 6 months ago

But 2/6=1/3 and 5/15= 1/3 So their solutions with infinite solution or unique solution

0Thank You

Yogita Ingle 5 years, 6 months ago

We have two Equations:

2x +3y= 5
6x +ky= 15

For No Solution, We have:

a₁/a₂= b₁/b₂ ≠ c₁/c₂

Here, a₁ = 2 , a₂ = 6 , c₂ = 15 , c₁ =5 & b₁ = 3 , b₂= k

Substitute given values in Formula:

a₁/a₂ = b₁/b₂ ≠ c₁/c₂

→ 2/6 = 3/k ≠ 5/15

→ 2/6 = 3/k

→ 18 = 2k

→ k = 18/2

→ k = 9

Therefore, Value of k is 9.

2Thank You

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Don't post personal information, mobile numbers and other details.
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Ask specific question which are clear and concise.

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Posted by Hari Anand 5 months, 2 weeks ago

CBSE > Class 10 > Mathematics