What is the solution of the system? Use elimination.

4х - y = 23
7x + y = 21
(1 point)
• (11, 0)
• (4, —7)
• (11, 44)
O (4, 7)

1 answer

To solve the system using elimination, add the two equations together. This will eliminate the variable y:

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

Substitute x = 4 into one of the original equations to solve for y. Let's use the first equation:

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

Therefore, the solution to the system of equations is (4, -7).
So, the correct answer is:
• (4, —7)