Answer:
No solution.
Explanation:
A system has only one solution if it ends at ax = b, in which a is different than 0.
If it ends at 0x = 0, the system has infinitely many solutions.
If it ends at a division by 0, or 0 = constant(different than 0), the system is inconsistent.
Our system is:
−20x + 30y = −3
8x − 12y = −3
I am going to multiply the top equations by 2 and the bottom equation by 5, and add them. So
-40x + 60y = -6
40x - 60y = -15
So
-40x + 40x + 60y - 60y = -6 - 15
0x + 0y = -21
We cannot divide 21 by 0, which means that this system of equations has no solution.