if the system of equations (k-3)x+3y=2k and 2x+(k-4)y=8 has infinitely many solutions, then the value of k is
A. 1 only
B. 6 only
C. 1 and 6
D. 5 only
Answers
Answer:
6
Step-by-step explanation:
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SOLUTION
TO CHOOSE THE CORRECT OPTION
if the system of equations (k-3)x+3y=2k and 2x+(k-4)y=8 has infinitely many solutions, then the value of k is
A. 1 only
B. 6 only
C. 1 and 6
D. 5 only
EVALUATION
Here it is given that the system of equations (k-3)x+3y=2k and 2x+(k-4)y=8 has infinitely many solutions
So by the given condition
Now
Again
From Equation 1 and 2 we get k = 6
FINAL ANSWER
Hence the correct option is B. 6 only
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