Previous Year Questions

To determine the nature of the system of linear

equations, we can use the method of determinants or compare the ratios of coefficients.

Calculation;

Let's compare the ratios of the coefficients of the equations;

Equation 1:0.4x +0.16y=1.7

Equation 2:0.3x + 0.12y=3.4

Comparing the ratios;

(0.4)/(0.3)=(4)/(3)

(0.16)/(0.12)=(4)/(3)

(1.7)/(3.4)=(1)/(2)

The ratios of the coefficients of x and y are equal, but the ratio of the constants is different.

The system has no solution (inconsistent system).

Option (c) is the correct answer.