6. What is the value of k, if the value of Dy, for the equations 3x +y=1 and 2x — ky=3 is 7?
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Value of k is (- 1).
Correct question:
What is the value of 'k' if the value of y for the equations 3x + y = 1 and 2x - ky = 3 is 7?
Step-by-step explanation:
Here the given equations are
3x + y = 1 ... ... (1)
2x - ky = 3 ... ... (2]
When y = 7, from (1) and (2), we obtain
3x + 7 = 1 ... ... (3)
2x - 7k = 3 ... ... (4)
From (3), we have
3x = 1 - 7
➜ 3x = - 6
➜ x = - 2
Putting x = - 2 in (4), we get
2 (- 2) - 7k = 3
➜ - 4 - 7k = 3
➜ - 7k = 3 + 4
➜ - 7k = 7
➜ 7k = - 7
➜ k = - 1
Thus the value of k is (- 1).
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