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Question

Write the number of solutions of the following pair of linear equations:

x+3y4=0 and 2x+6y7=0.

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Solution

1st equation can be re-written as y= x3+43

comparing with y=mx+c , m= 13

2nd equation can be written as

y= x3+76

comparing with y=mx+c , m= 13

so slopes of both the lines are same. so they are parallel and never intersect.

so number of solutions for this pair of linear equations is zero


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