Use a compass and straightedge to construct XY congruent to UV

51 and 42

Step-by-step explanation:

Use

x + y = 93

x - y = 9

Add those two equations together and you get 2x = 102

*y is not in the equation anymore because y + -y = 0*

Divide both sides by 2

x = 51

plug x into one of the equations; let's use x + y = 93

Then you get, 51 + y = 93

Subtract both sides by 51 and you get y = 42

Plug both in the other equation to make sure the numbers work.

51 + 42 = 93; true

51 - 42 = 9; true