To identify the solution for the system of equations given the two equations \( y = 2x - 5 \) and \( y = x - 3 \), we need to find the values of \( x \) where both equations yield the same \( y \)-value.
From Jian's table:
- For \( x = 0 \), \( y = -5 \) from the first equation and \( y = -3 \) from the second equation (not a solution).
- For \( x = 1 \), \( y = -3 \) from the first equation and \( y = -2 \) from the second equation (not a solution).
- For \( x = 2 \), \( y = -1 \) from the first equation and \( y = -1 \) from the second equation (this is a solution).
- For \( x = 3 \), \( y = 1 \) from the first equation and \( y = 0 \) from the second equation (not a solution).
The only point where both equations have the same \( y \)-value is at \( (2, -1) \).
Thus, the solution for the system is:
(2, −1)