The pair of linear equations 2x + 3y = 1 and 4x + 6y = 5 has
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The general form for a pair of linear equations in two variables x and y is
a1x+b1y+c1=0 and
a2x+b2y+c2=0
2x+3y=1 ---(1)
4x+6y=2 ---(2)
Comparing equations (1) and (2) with the general form of equation to consider their co-efficient,
a1=2,a2=4,b1=3,b2=6,c1=1,c2=2
So, 42=63=21
We know that a2a1=b2b1=c2c1 is said to be dependent.
Hence, the equations are satisfying the above condition.
It is dependent.
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