Question

How many solutions does this system have?

–3x + 6y = 10
–3x + 6y = –4

Answer 1

Let's work it out and see.
Add both together to get\[12y = 6\]\[y = {1 \over 2}\]Plug back into the first equation\[-2x + 3 = 10\]\[-2x = 7\]\[x = -{7 \over 2}\]
We have one solution.

Answer 2

no solution because 10<>-4

Answer 3

Ah. Good catch. Sorry qudrex. Yifan is correct.