solve pair of equation 1/2(x-2y)+2/3(x+2y)=5 and -1/3(x-2y)-1/4(x+2y)=6 find x and y
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Step-by-step explanation:
Plugging the second equation
x
=
6
+
2
y
in the first one we get
1
2
⋅
(
6
+
2
y
)
+
2
y
=
12
1
2
⋅
6
+
1
2
⋅
2
y
+
2
y
=
12
simplifying we get
3
+
y
+
2
y
=
12
3
+
3
y
=
12
so
3
y
=
9
y
=
3
so
x
=
6
+
2
⋅
3
=
6
+
6
=
12
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