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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.