Answer:
x = 5, y = 6
Step-by-step explanation:
For the triangles to be congruent then corresponding sides are equal
that is BC = ED and AC = AD, that is
x = y - 1 → (1)
3x - 2 = 2y + 1 → (2)
substitute x = y - 1 into (2)
3(y - 1) - 2 = 2y + 1
3y - 3 - 2 = 2y + 1
3y - 5 = 2y + 1 ( subtract 2y from both sides )
y - 5 = 1 ( add 5 to both sides )
y = 6
substitute y = 6 into (1) for corresponding value of x
x = 6 - 1 = 5
