Question

Do the equations 5x+7y=8 and 10x+14y=4 represent a pair of concident lines ? Justify your answer.

Answer 1

Let the equations be in the form ax+b=c

For the lines Tobe coincident,

(a1/a2)=(b1/b2)=(c1/c2)

Is the condition.

5x+7y=8 and 10x+14y=4

a1/a2=5/10=1/2
b1/b2=7/14=1/2
c1/c2=8/4=2

ie, the condition is violated since c1/c2 is 2 and others are 1/2.

So,these lines are not coincident.

The given equations arr