How many solutions does this system have?

Question

-3x + 6y = 10
-3x + 6y = -4
A. none
B. one
C. infinite
D. two

Answer 1

The system of equations is:

-3x + 6y = 10
-3x + 6y = -4

If we subtract the second equation from the first equation, we get:

(0) = 14

This means that the system of equations is inconsistent and has no solutions.

Therefore, the answer is option A. none.