ordered pairs for: x-2y=-14 2x+y=17 HELP ASAP!

Question

jim_thompson5910 · Answer

isolate x in the first equation to get

x-2y=-14

x=-14+2y

jim_thompson5910 · Answer

then plug this into the second equation

2x+y=17

2(-14+2y)+y=17

-28 + 4y + y = 17

5y - 28 = 17

...
...
...

y = ???

anonymous · Answer

Hmm, I'm still pretty confused.. :/

jim_thompson5910 · Answer

do you see how I got what I have so far?

anonymous · Answer

Yes, I do see. (: 
So, that's how I'll be finding the ordered pairs?

jim_thompson5910 · Answer

the idea from here is to solve 5y - 28 = 17 for y

what do you get when you do so?

anonymous · Answer

9? I'm horrible at math. So, I'm not sure if i done it right but what I did was I subtracted 28 both sides & then I divided it by 5. AGAIN, i'm not sure yet how to solve ordered pairs.............

jim_thompson5910 · Answer

y = 9 is correct

jim_thompson5910 · Answer

now that you know that y = 9, you can use this to find x

x=-14+2y

x=-14+2*9 .. plug in y = 9

x = -14 + 18

x = 4

anonymous · Answer

Can you help me solve x? :)

jim_thompson5910 · Answer

so the ordered pair is (4,9)

anonymous · Answer

Thank you so much!!

jim_thompson5910 · Answer

what this means visually is that if you graphed the two lines x-2y=-14 and 2x+y=17, they would intersect at the point (4,9)

jim_thompson5910 · Answer

you're welcome