Question

6.
Find whether the lines representing the following pain
of linear equation intersect at a point are parallel
di coincidenti
3x/2- 5y/3 = -2
x/3 + y/2 =13/6​

Answer 1

(i)

Let (3x/2) - (5y/3) = -2

∴ a₁ = (3/2), b₁ = (-5/3) = -2

(ii)

Let (x/3) + (y/2) = 13/6

∴ a₂ = (1/3), b₂ = (1/2), c₂ = 13/6

Now,

a₁/a₂ = (3/2) * (3/1)

        = 9/2

b₁/b₂ = (-5/3) * (1/2)

        = -5/6

As a₁/a₂ ≠ b₁/b₂, the lines representing the given pair of equations intersect at a point.

Hope this helps!