If
x
+
y
=
26
x+y=26
x
+
y
=
26
and
x
−
y
=
14
x-y=14
x
−
y
=
14
, then
y
=
y=
y
=
?
6
6
6
7
7
7
12
12
12
20
20
20
40
40
40
Summary
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Approach
Subtract the equations (elimination):
(
x
+
y
)
−
(
x
−
y
)
=
26
−
14
(x+y)-(x-y)= 26-14
(
x
+
y
)
−
(
x
−
y
)
=
26
−
14
2
y
=
12
2y = 12
2
y
=
12
y
=
6
y = \boxed{6}
y
=
6