Let's solve this step by step:
1. Your starting position on a coordinate plane is at the point (5, 3). This indicates that you are 5 units to the right from the vertical (y) axis, and 3 units up from the horizontal (x) axis.
2. When you move left on the coordinate plane, you are moving in the negative direction along the x-axis (horizontal axis).
3. If you move left 2 units from your starting position, you subtract 2 from the x-coordinate of your starting position, since the x-coordinate represents your position on the horizontal axis.
4. Performing the subtraction for the x-coordinate:
- Start on the x-axis with a value of 5.
- Move left (which means subtracting from your x-coordinate) by 2 units.
- 5 - 2 = 3
5. Your y-coordinate remains unchanged because moving left or right does not affect your position on the vertical axis (y-axis); hence, it remains at 3.
6. Therefore, after moving 2 units to the left, your new position on the coordinate plane is at (3, 3).
That is the final answer.
