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Mathematics
Mathematics
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, a line intersects
A
B
AB
A
B
at
D
D
D
and
A
C
AC
A
C
at
E
E
E
and is parallel to
B
C
BC
B
C
. The segment ratios are
A
D
:
D
B
=
3
y
−
1
:
2
y
+
5
AD:DB = 3y-1 : 2y+5
A
D
:
D
B
=
3
y
−
1
:
2
y
+
5
and
A
E
:
E
C
=
5
y
−
4
:
y
+
2
AE:EC = 5y-4 : y+2
A
E
:
E
C
=
5
y
−
4
:
y
+
2
. Determine the value of
y
y
y
.
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