Question

Does the following pair of linear equations represent a pair of coincident lines?-2x-3y-1=0and 4x+6y+2=0​

Answer 1

Answer:

Given pair of linear equations.

– 2x – 3y – 1 = 0 and 4x + 6y + 2 = 0

Comparing the above equations with ax + by + c =0

Here, a1 = – 2, b1 = – 3, c1 = – 1

And a2 = 4, b2 = 6, c2 = 2

a1 /a2 = – 2/4 = – ½

b1 /b2 = – 3/6 = – ½

c1 /c2 = – ½

Here, a1/a2 = b1/b2 = c1/c2, i.e. coincident lines

Hence, the given pair of linear equations is coincident.

Step-by-step explanation:

hope it helps you