Hello all, thank you for your time.

Solve the system:

-x+3y=-1

x+2y=4

I understand how to do this, but my answer was not correct, the book said the answer was:

(14/5,3/5) but I have no idea how it got that. I must have made an error in my work, but I'm not sure where.

I started with x+2y=4 Subtracting 2y makes x=4-2y

Then you plug that into the other equation and you get

-4-2y+3y= -1

Which simplifies to:

-4+y=-1

Adding 4 to both sides:

y=3

Plugging that into the other one:

x+2x3=4

Which simplifies to:

x+6=4

Subtract six:

x=-2

Which gives an answer of (-2,3) but I know this is not corrrect because it does not work when you plug that into x and y for the original two sets.

Where am I making my error here?

Thank you very much