Question

is (2, -3) a solution to X+y=5 and X-y+-1, yes or no

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 equations \(X + y = 5\) and \(X - y = -1\), we need to substitute \(X = 2\) and \(y = -3\) into each equation and check if they hold true.

1. For the first equation \(X + y = 5\):
\[
2 + (-3) = 2 - 3 = -1 \quad \text{(not equal to 5)}
\]

2. For the second equation \(X - y = -1\):
\[
2 - (-3) = 2 + 3 = 5 \quad \text{(not equal to -1)}
\]

Since the ordered pair (2, -3) does not satisfy either equation, the answer is **No**, (2, -3) is not a solution to the system.