On comparing the ratios of the coefficients, find out whether the pair of equations x – 2y =0 and 3x + 4y -20 =0 is consistent or inconsistent.
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Step-by-step explanation:
2x−3y−8=0⟶(1)
4x−6y−9=0⟶(2)
2x−3y−8=0
Comparing with a
1
x+b
1
y+c
1
=0
a
1
=2
1
b
1
=−3
1
c
1
=−8
4x−by−9=0
Comparing with a
2
x+b
2
y+c
2
=0
a
2
=4b
2
=−6c
2
=−9
a
1
=2
1
b
1
=−3
1
c
1
=−8
a
2
=4b
2
=−6c
2
=−9
a
2
a
1
=
4
2
=
2
1
b
2
b
1
=
−6
−3
=
2
1
c
2
c
1
=
−9
−8
=
9
8
Since,
a
2
a
1
=
b
2
b
1
=
c
2
c
1
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