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 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
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.
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