Question

Select TWO statements that correctly describe the solutions to this system of equations.


2
x
−
y
=
0
x
+
y
=
9


There is exactly one solution to the system of equations.


There is more than one solution to the system of equations.


The coordinates
(
3
,
6
)
are the solution to the system of equations.


The coordinates
(
6
,
3
)
are the solution to the system of equations.


The coordinates
(
−
3
,
−
6
)
are the solution to the system of equations.

Answer 1

Correct choices:
- There is exactly one solution to the system of equations.
- The coordinates (3, 6) are the solution to the system of equations.

Work: From 2x − y = 0 => y = 2x. Substitute into x + y = 9: x + 2x = 9 => 3x = 9 => x = 3, y = 6.