Question

Consider the system of equations:
7
x
−
y
=
14
2
x
+
3
y
=
−
1
Is the ordered pair
(
3
,
7
)
a solution to this system?
Select one answer
A
Yes, because it satisfies the first equation.

B
Yes, because it satisfies both equations.

C
No, because it does not satisfy both equations.

D
No, because it does not satisfy either equation.

Answer 1

C

Substitute (3, 7):
First: 7(3) − 7 = 21 − 7 = 14 ✓
Second: 2(3) + 3(7) = 6 + 21 = 27 ≠ −1 ✗

So it does not satisfy both equations.