Math, asked by itsrhea, 6 months ago

Find the value of k for which the system of equations has a unique solution:
4x -5y = k, 2x -3y = 12
(step by step)​

Answers

Answered by asananidhruv9428
0

Answer:

k not equal to 20 answer

Step-by-step explanation:

If my answer is right than mark me as brainlist please

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Answered by SandeepAW
0

Answer:

4x-5y=k, 2x-3y=12.

4x-5y-k=0.

2x-3y-12=0.

a1=4. a2=2.

b1=-5. b2=-3.

c1=-k. c2=-12.

a1/a2=4/2=2.

b1/b2=-5/-3=5/3.

c1/c2=-k/-12=k/12.

4/2=k/12.

2k=4×12.

2k=48.

k=48/2.

k=24.

c1/c2=24/12=2.

a1/a2≠b1/b2.

So, the system of equation has a unique solution.

I think this is your answer.

5/3=k/12.

3k=5×12.

3k=60.

k=60/3.

k=20.

c1/c2=20/12=5/3.

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