An important and exam oriented question from linear equations in two variables in which we have given two equations 2x-3y=5, 6x-9y=15 and we have to show that these equations have infinite number of solutions

RS Aggarwal, Class 10, chapter 3D, question no 10

## 2x−3y=5,6x−9y=15

Here,

a1=2, b1=−3, c1=5

a2=6, b2=−9, c2=15

a1/a2=2/6=1/3, b1/b2=−3/−39=1/3

and

a1/a2=b1/b2=c1/c2

This system has an infinity number of solution.