Question

you move left 7 units and down 3 units. you end at (-5, -3). where did you start?

Explanation:

Step1: Reverse the x - coordinate movement

Moving left 7 units means subtracting 7 from the x - coordinate. To reverse it, we add 7 to the final x - coordinate. Let the starting x - coordinate be $x$ and the final x - coordinate $x_f=-5$. Then $x=x_f + 7$. So $x=-5 + 7=2$.

Step2: Reverse the y - coordinate movement

Moving down 3 units means subtracting 3 from the y - coordinate. To reverse it, we add 3 to the final y - coordinate. Let the starting y - coordinate be $y$ and the final y - coordinate $y_f=-3$. Then $y=y_f+3$. So $y=-3 + 3=0$.

Answer:

$(2,0)$