show that the following pair of equation is inconsistent.
2x + 7y = 11 , 5x+35y/2 = 25.
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Answered by
11
Heya !!!
2X + 7Y = 11-----------(1)
5X + 35Y/2 = 25
10X + 35Y - 50 = 0--------(2)
These equations are in the form of A1X+B1Y+C1 = 0 and A2X+B2Y+C2 = 0 Where ,
A1 = 2 , B1 = 7 , C1 = -11
And,
A2= 10 , B2 = 35 and C2 = -50
Therefore,
A1/A2= 2/10 , B1/B2 = 7/35 = 1/5 and C1/C2 = -11/-50 = 11/50
Clearly,
A1/A2= B1/B2 not equal C1/C2
1/5 = 1/5 not equal 11/50
The given pair of equations has a unique solution. It is consistent.
HOPE IT WILL HELP YOU...... :-)
2X + 7Y = 11-----------(1)
5X + 35Y/2 = 25
10X + 35Y - 50 = 0--------(2)
These equations are in the form of A1X+B1Y+C1 = 0 and A2X+B2Y+C2 = 0 Where ,
A1 = 2 , B1 = 7 , C1 = -11
And,
A2= 10 , B2 = 35 and C2 = -50
Therefore,
A1/A2= 2/10 , B1/B2 = 7/35 = 1/5 and C1/C2 = -11/-50 = 11/50
Clearly,
A1/A2= B1/B2 not equal C1/C2
1/5 = 1/5 not equal 11/50
The given pair of equations has a unique solution. It is consistent.
HOPE IT WILL HELP YOU...... :-)
Answered by
4
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