Question

Consider the system of equations:
4
x
+
y
=
−
8
6
x
−
3
y
=
0

Is the ordered pair
(
−
2
,
0
)
a solution to this system?
Select one answer
A
Yes, because
(
−
2
,
0
)
satisfies the first equation
4
x
+
y
=
−
8
.

B
No, because
(
−
2
,
0
)
does not satisfy both equations in the system.

C
Yes, because
(
−
2
,
0
)
satisfies both equations in the system.

D
No, because
(
−
2
,
0
)
does not satisfy the first equation
4
x
+
y
=
−
8
.

Answer 1

B.
Substitute (x,y)=(-2,0): 4(-2)+0 = -8 (satisfies the first), but 6(-2)-3(0) = -12 ≠ 0, so it does not satisfy the second equation.