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:
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.
Similar Questions
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
If (3, 2) is a solution of the linear equation 3x - ky = 5, then the value of k is
If the given equation is true for all values of where is a constant, then what is the value of ?
When solving the given system of equations by elimination with addition, which value of k will eliminate the x-terms?2x−y=19k(x+3y)=k(10)
The value of k for which x – 1 is a factor of the polynomial 4x3+ 3x2 – 4x + k is :-a.3b.0c.1d.- 3
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.