Question

Solve:
x+2y=13
4x+8y=-9

A. (3,5)
B. (-1,7)
C. No solutions
D. Infinitely many solutions

Answer 1

I think it is C... But I don't know for sure if that's correct?

Answer 2

You are right ;).

Answer 3

Are you sure?? I'm not very good at algebra so I don't have much confidence when I reach a solution....

Answer 4

You can solve it by reduction. Multiply the first equation by 4, then the system is now,
\[4x+8y=52\\
4x+8y=-9\]
Now you see that it can not have any solution, because the same expression at the left side gives different numbers at the right side, so there is no solution.

Answer 5

Thanks :) I had it right but I needed reassurance haha

Answer 6

You're welcome ;).