Question

Consider the system of equations:
y
=
2
x
+
5

y
=
−
3
x
+
15
Is the ordered pair
(
2
,
9
)
a solution to this system?
Select one answer
A
Yes,
(
2
,
9
)
is a solution to the system.

B
No,
(
2
,
9
)
only satisfies the first equation.

C
No,
(
2
,
9
)
only satisfies the second equation.

Answer 1

A

Check by substituting x = 2, y = 9:
- For y = 2x + 5: 2(2) + 5 = 4 + 5 = 9 ✓
- For y = −3x + 15: −3(2) + 15 = −6 + 15 = 9 ✓

(2, 9) satisfies both equations.