Question

Consider the system of equations below:
x + y = 5
x - y = -1

The ordered pair (2, 3) ___ a solution to the system.

A: is
B: is not

Answer 1

To determine if the ordered pair (2, 3) is a solution to the system of equations, we can substitute \(x = 2\) and \(y = 3\) into both equations.

1. For the first equation \(x + y = 5\):
\[
2 + 3 = 5 \quad \text{(True)}
\]

2. For the second equation \(x - y = -1\):
\[
2 - 3 = -1 \quad \text{(True)}
\]

Since the ordered pair (2, 3) satisfies both equations, we conclude that the ordered pair (2, 3) **is** a solution to the system.

The answer is:
A: is