Question

Given the system:
y
=
2
x
+
4
x
−
y
=
−
6

Which ordered pairs
(
x
,
y
)
satisfy both equations? Select all that apply.
Select one answer
A
(
−
2
,
0
)

B
(
−
1
,
2
)

C
(
0
,
4
)

D
(
1
,
6
)

E
(
2
,
8
)

F
(
3
,
10
)

Answer 1

Interpret the system as
y = 2x + 4
x − y = −6

Substitute y into the second equation:
x − (2x + 4) = −6
−x − 4 = −6
−x = −2 → x = 2
Then y = 2(2) + 4 = 8.

Only (2, 8) satisfies both equations, so answer E.