Question

consider the system of equations below
{x + y =5
{x- y = -1

the ordered pair (2, - 3) a solution to the system

Answer 1

To determine if the ordered pair (2, -3) is a solution to the system of equations:

1. **Substitute (2, -3) into both equations:**

a) For the first equation: \(x + y = 5\)
\[
2 + (-3) = 5 \\
2 - 3 = 5 \\
-1 \neq 5 \quad \text{(False)}
\]

b) For the second equation: \(x - y = -1\)
\[
2 - (-3) = -1 \\
2 + 3 = -1 \\
5 \neq -1 \quad \text{(False)}
\]

Since the ordered pair (2, -3) does not satisfy either equation, it is **not** a solution to the system of equations.