Question

On comparing the ratios of the coefficients, find out whether the pair of equations x – 2y =0 and 3x + 4y -20 =0 is consistent or inconsistent

Answer 1

Answer:

These equations are consistent.

Step-by-step explanation:

Let us take x – 2y = 0 as (1) and 3x + 4y -20 = 0 as (2)

a1 = 1

a2 = 3

a1 / a2 = 1/3

b1 = -2                                                      a1 / a2 ≠ b1 / b2 ≠ c1 / c2 = 0

b2 = 4                                    These equations have one unique solution.

b1 / b2 = - 1/2                                  These equations are consistent.

c1 = 0

c2 = -20

c1 / c2 = 0