Question

2x+6y=-8
x-3y=8
i think x=8, and y=-4, but i need clarification on what to do.

Answer 1

Okay, first thing I would suggest is checking your solution in both of those equations. How did you arrive at it?

Answer 2

ok. 2x+6y=-8
x-3y=8
multiplied the bottom equation by two,
2x+6y=-8
2x-6y=16

Answer 3

Okay, then what did you do?

Answer 4

2x=16/2=(x=8)
2(8) +6y=-8
16+6y=-8

Answer 5

6y must equal 4.
6(4)=24
16+24=-8

Answer 6

No, you need to add the equations together.

\[2x + 6y = -8\]\[2x-6y=16\]
---------------------
\[4x + 6y - 6y = -8 + 16\]
Now solve it.

Answer 7

4x=-8/4, x=2

Answer 8

There you go. Now use that plus either of the original equations to find y.

Answer 9

thank you.

Answer 10

wait...how did you get 2x if you add it?

Answer 11

What do you get for y? And does your solution make both equations work?

I added 2x + 2x = 4x. I also added 6y + (-6y) = 0y. On the right side, I added -8 + 16 = 8. Altogether that gives 4x = 8, x = 2.

Answer 12

yeah. so you multiply then add. ok. y equals 2.

Answer 13

sorry, -2.

Answer 14

\[2(2) + 6(-2) = -8\checkmark\]\[2(2) - 6(-2) = 16\checkmark\]
Always good to check the solutions!