What is the solution of the system? Use elimination.
4x – y = 23
7x + y = 21
(1 point)
Responses
(11, 0)
(11, 0)
(4, –7)
(4, –7)
(11, 44)
(11, 44)
(4, 7)
To solve the system using elimination, we can add the two equations together to eliminate the y variable:
(4x - y) + (7x + y) = 23 + 21
11x = 44
Dividing both sides of the equation by 11, we get:
x = 4
Substituting this value back into one of the original equations, we can solve for y:
4(4) - y = 23
16 - y = 23
-y = 7
y = -7
Therefore, the solution to the system is (4, -7). Therefore, the correct answer is:
(4, -7)