show that the system of equations x+2y-4=0 and 3x+6y-9=0 are intersecting lines(Not graphically)
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x+2y-4=0 & 3x+6y-9=0.
The given pair of linear equations are:-
x+2y-4=0.
3x+6y-9=0.
On comparing with standard form of pair of linear equations are:-
a1=1, b1=2, c1=-4.
a2=3, b2=6, c2=-9.
a1/a2=1/3.
b1/b2=2/6=1/3.
c1/c2=-4/-9=4/9.
a1/a2=b1/b2 is not equal to c1/c2.
The lines representing the given pair of equqations are parallel to each other & hence, these lines will never intersect each other at any point or there is no possible solution for the given pair of equations.
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