Question

Consider the system of equations:
3
x
−
6
y
=
9
2
x
+
5
y
=
−
4
Is the ordered pair
(
1
,
−
1
)
a solution to this system?
Select one answer
A
Yes, because it satisfies the first equation.

B
Yes, because when substituted, both equations are satisfied.

C
No, because it does not satisfy the first equation.

D
No, because it does not satisfy both equations.


Subm

Answer 1

Plugging (1, −1) in:

First equation: 3(1) − 6(−1) = 3 + 6 = 9 ✓
Second equation: 2(1) + 5(−1) = 2 − 5 = −3 ≠ −4 ✗

It does not satisfy both equations, so D.