Question

please help me to find this​

Answer 1

Question :-

For what value if k, the pair of linear equations 2x - y - 3 = 0, 2kx + 7y - 5 = 0 has a unique solution x = 1 , y = -1 ?

Answer :-

• k = 6

Step by step explanation :-

Here, we have two linear pair of equations and in 2nd equation have a k variable and we need to find the value of k. and also we given that the unique solutions of that equations. Now, we firstly verify the unique solution by substituting in eqⁿ 1 then if is correct, we find the value of k easily.

• Verification

➨ 2x - y - 3 = 0

➨ 2(1) - (-1) - 3 = 0

➨ 2 + 1 - 3 = 0

➨ 3 - 3 = 0

➨ 0 = 0

Now, we substituting unique solutions in eqⁿ (2)

➨ 2kx + 7y - 5 = 0

➨ 2k(1) + 7(-1) - 5 = 0

➨ 2k + (-7) - 5 = 0

➨ 2k - 7 = 5

➨ 2k = 5 + 7

➨ 2k = 12

➨ k = 12/2

➨ k = 6

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Answer 2

Answer:

a)

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