Question

find out whether lines representating the following pair of linear equation intersect at a point parallel or coincident 5x-4y+8=0
7x+6y-9=0

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Answer 1

Answer:

this line will only intersect

Explanation:

A1/A2=b1/b2 is not equal to C1/C2

in case of parallel

this line is neither parallel nor coincident it only intersect cause A1/A2 is not equal to b1/b2

Answer 2

Answer:

in 1st equation

a=5,b=-4 and c=8 which is constant

In 2nd condition

a=7,b=6 and -9

so that,

a1/a2 =5/7

b1/b2 = - 4/6 =-2/3

c1/c2 =8/9

then,

a1/a2 is not equal to b1/b2

they will be intersect each other at unique point and there will be a unique solution for these equations