x + y = 3k x - y = k The solution of the system shown is _____. (0, 2k) (2k, 0) (2k, k)
Accepted Solution
A:
Answer:The solution of the system shown is (2k, k)Step-by-step explanation:We have a systems of two equations:First equation: x+y = 3kSecond equation: x - y = kFrom the second equation we get that: x = k + y (1)Substituting (1) in the first equation we get:k + y + y = 3kSolving for y:2y = 2k ⇒ y = k.Then, let's find the value of "x" using equation (1):x = k + y ⇒ x = k + k = 2kThe solution of the system shown is: (2k, k)