using the cross multiplication method x/6=y-6 and 6x/4=1+y
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solution
Simplify given equations:
6
x
+
15
y
=4
30
(5x+2y)
=4
5x+2y−120=0
and
3
x
−
12
y
=
4
19
4x−y−57=0
New set of equations is:
5x+2y−120=0....(1)
4x−y−57=0....(2)
From equation (1):
a
1
=5,b
1
=2 and c
1
=−120
From equation (2):
a
2
=4,b
2
=−1 and c
2
=−57
Using cross multiplication method for solving set of equations:
−114−120
x
=
−480+285
y
=
−5−8
1
−234
x
=
−195
y
=
−13
1
−234
x
=−
13
1
x=
−13
−234
⇒x=18
and
−195
y
=
−13
1
y=15
Answer x=18 and y=15
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