Question

What value of k will make the systems 3x-y=7 and y=3x+k consistent and dependent?

Answer 1

here is your answer.......

Answer 2

Answer:

At value of k = -7, the systems 3x - y = 7 and y = 3x + k consistent and dependent.

Step-by-step explanation:

Explanation:

• A system is deemed consistent if it has at least one solution. A consistent system is independent if it only has one solution.

• A consistent system is dependent if there are an endless number of possible solutions.

Step :

Given that, 3x - y = 7  ..............(i)

and y = 3x + k

Where y = 3x + k can be written as,

3x - y = - k .........(ii)

Now, comparing both the equation(i) and (ii).

So, -k = 7

⇒ k = -7.

Final answer:

Hence, when k = -7 then the system 3x - y = 7 and y = 3x + k consistent and dependent.

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