Question

Use the method of elimination to solve the system

3x-4y=1,
-2x+2y=2

Your answer is __________
If there is more than one point, type the points separated by a comma (e.g.: (1,2),(3,4)).
If the system has no solutions, type none in the answer blank.

Answer 1

When using the elimination method, you have to get one of the functions to have the same, but opposite, value; 2x and -2x, 5y and -5y ect.
In this case, eliminating the "y" will take less steps, so we shall eliminate it. Multiply the entire function "-2x+2y=2" by 2, then "add" that to the one above, "3x-4y=1".
Upon adding them, you get "-x=5".
Get "x" alone, and one answer is "x=-5".
Plug that value in in whichever equation, then find "y", and you get "y=-4".
Thus, your answers are x=5 and y=-4.
I hope this helped, and that you weren't just being lazy; I apologize if you weren't.

Answer 2

Thank you for the help, but sorry. I'm using an online program I had already put in this answer and it kept was saying it was wrong. Is there a possibility of more than one answer?

Answer 3

Oops, sorry, x=-5, not 5. >.>