Answer:
A. x = 7, y = 3
Step-by-step explanation:
The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.
3x -1 = 6y +2 . . . . hypotenuses are congruent
2x = 5y -1 . . . . . . .legs are congruent
Subtracting 2 times the first equation from 3 times the second gives ...
3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)
6x -6x +2 = 15y -3 -12y -4
9 = 3y . . . . . . . . . . . add 7 and simplify
y = 3 . . . . . . . . divide by 3
This value of y matches only answer choice A.
