Use the elimination method to solve the follow system of equations.
9x−7y=22
9
−
7
=
22
x+3y=−24
+
3
=
−
24
This question requires you to show your work.
(1 point)
Responses
(0,−8)
(
0
,
−
8
)
open paren 0 comma negative 8 close paren
(3,−9)
(
3
,
−
9
)
open paren 3 comma negative 9 close paren
(4, 2)
(
4
,
2
)
(4, 2)
(
4
,
2
)
(−3,−7)
First, we can solve for x in the second equation:
x + 3y = -24
x = -3y - 24
Now we can substitute this expression for x into the first equation:
9(-3y - 24) - 7y = 22
-27y - 216 - 7y = 22
-34y = 238
y = -7
Now that we have the value of y, we can substitute it back into the second equation to find x:
x = -3(-7) - 24
x = 21 - 24
x = -3
Therefore, the solution to the system of equations is (x, y) = (-3, -7).