x/2+y/3=8and5x/4-3y=-3
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x
=
−
26
7
,
y
=
36
7
Explanation:
Multiplying the first equation by
5
and the second one by
−
2
we obtain
7
y
=
36
so
y
=
36
7
plugging this in the second equation we get
5
x
+
4
⋅
26
7
=
2
so
5
x
=
2
−
4
⋅
36
7
note that
2
−
4
⋅
36
7
=
−
130
7
so
x
=
−
26
7
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