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Question

Write the number of solutions of the following pair of linear equations:
x+3y-4=0, 2x+6y-7=0

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Solution

The given pair of linear equations are
x+3y-4=0 .....i2x+6y-7=0 .....ii
Which is of the form a1x+b1y+c1=0 and a2x+b2y+c2=0, where a1=1, b1=3, c1=-4, a2=2, b2=6 and c2=-7
Now
a1a2=12b1b2=36=12c1c2=-4-7=47a1a2=b1b2c1c2
Thus, the pair of the given linear equations has no solution.

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