Answer:
x=2 and y=6
Step-by-step explanation:
By HL Theorem, the hypotenuses of both triangles are congruent to each other in length as well as both legs. Therefore, we create a system of equations to solve for the values of x and y:
2x-1 = y-3
x+3 = y-1
2x-1 = y-3
2x+2 = y
x+3 = (2x+2)-1
x+3 = 2x+2-1
x+3 = 2x+1
x = 2x-2
-x = -2
x = 2
(2)+3 = y-1
5 = y-1
6 = y
Therefore, x=2 and y=6.
