This question is taken from linear equations in two variables in which we have given two equations x+2y=3 and 5x+ky+7=0 and we have to prove that the given equations are inconsistent.

Kindly solve the above equations by using the properties of linear equations

RS Aggarwal, Class 10, chapter 3F, question no 20

The given system is

x + 2y – 3 = 0 ……(i)

5x + ky + 7 = 0 ……(ii)

Here, a1 = 1, b1 = 2, c1 = -3, a2 = 5, b2 = k and c2 = 7.

For the system, to be consistent, we must have