Question

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)
(4, 7)

Answer 1

To solve this system using elimination, we will add the two equations together since the y-terms will cancel out:

4x - y + 7x + y = 23 + 21
11x = 44
x = 4

Now we can substitute this value back into one of the original equations to solve for y:

4(4) - y = 23
16 - y = 23
-y = 7
y = -7

Therefore, the solution of the system is (4, -7). So the correct response is:

(4, -7)