In each of the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it:

Question

Philoid · Accepted Answer

a1x + b1y + c1 = 0

a2x + b2x + c2 = 0

if infinite solution

, no solution

If unique solution

3x – 5y = 20

6x – 10y = 40

Infinitely many solution