Question

Given triangle XP’s is congruent to triangle dnf, find the values of x and y.

Answer 1

ΔXPS is congruent to ΔDNF

Since they only give you two sides of ΔXPS, then you know that:
XP (4y-3)= DN (57)
XS (17x+3) = DF (54)

4y - 3 = 57
4y = 60
y = 15

17x + 3 = 54
17x = 51
x = 3

So the answers are:
x = 3
y = 15