solue graphically
x+3y=6 & 2x-3y=12
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The given pair can be written as
x+3y−6=0and2x−3y−12
Herea
1
=1,b1=3,c
1
=−6...........eq1anda
2
=2,b
2
=−3,c
2
=−12.........eq2
∴
a
2
a
1
=
2
1
,
b
2
b
1
=
−6
3
=
−2
1
Hence
a
2
a
1
=
b
2
Thus the given pair of equation is consistent.
To solve them graphically we have
Table of eq1
x 0 3 6
y 2 1 0
Table of eq2
x 0 3 6
y -4 -2 0
Thus the given pair of linear equation has unique solution x=6 and y=0.
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