Given
Δ
O
S
U
≅
Δ
B
C
K
ΔOSU≅ΔBCK and
m
∠
S
=
6
x
−
15
m∠S=6x−15,
m
∠
C
=
39
−
3
x
m∠C=39−3x,
O
S
=
13
y
+
9
OS=13y+9, and
B
C
=
9
y
+
43
BC=9y+43, solve for the values of x and y.