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Given x + 3y = k and x - k = y, which of the following is equal to x?(A) y(B) k(C) 2y(D) k2k2(E) 0

Question

Given the equations:

x+3y=k x + 3y = k xk=y x - k = y

Which of the following is equal to x?

(A) y
(B) k
(C) 2y
(D) k2k2
(E) 0

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Solution

To find the value of x, we can use the system of equations given: x + 3y = k and x - k = y.

Step 1: From the second equation, we can express x in terms of y and k: x = y + k.

Step 2: Substitute x = y + k into the first equation: y + k + 3y = k.

Step 3: Simplify the equation: 4y = 0.

Step 4: Solve for y: y = 0.

Step 5: Substitute y = 0 into the equation x = y + k: x = 0 + k.

So, x = k. Therefore, the answer is (B) k.

This problem has been solved

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