Question

determine the type of solution the following sustem of linear equations 2x-3y=2 and x-6y=4​

Answer 1

First equation :

2x-3y = 2

2x (a¹x) - 3y (b¹y) - 2 (c¹) = 0 –(1)

Second equation:

x-6y = 4

x(a²x) - 6y(b²y) - 4(c²) = 0 –(2)

On combining equation (1) and (2) :

2x/x = (-3y/-6y) = (-2/-4)

2/1 ≠ 1/2 = 1/2

Now,

a¹/a²≠ b¹/b² = c¹/c²

Then the equations will have no solution.