Solve the system of equations...

3x-2y=-7
-4x+y=11

I asked this before and was told to try the elimination method, but when I checked the answer, the y-value was completely wrong (the answer is supposed to be (-3,-1)). What's the correct way to solve this?

Question

Solve the system of equations... 

3x-2y=-7
-4x+y=11

I asked this before and was told to try the elimination method, but when I checked the answer, the y-value was completely wrong (the answer is supposed to be (-3,-1)). What's the correct way to solve this?

jtug6 · Answer

Essentially solve for 1 variable in either equation and then plug that into the other. That's another way you could go about solving

jtug6 · Answer

I'd try solving for y for the 2nd equation since it's a little easier than the top one

anonymous · Answer

I'm adding -4x to both sides, correct?

jtug6 · Answer

correct

anonymous · Answer

Ok, gimme a sec...

anonymous · Answer

y=15x? that can't be right

jtug6 · Answer

mmm hold on. youre adding 4x to both sides, so it becomes y = 11 + ___?

anonymous · Answer

y=11+4x?

jtug6 · Answer

righto

anonymous · Answer

So I'm just supposed to plug that in? That's frustrating... haha

jtug6 · Answer

It is but it's a way to get it in terms of only 1 variable. so then try 3x - 2(y) = -7

jtug6 · Answer

Then sub what you found for y into that and solve :)

anonymous · Answer

-3! Thank you so much :)

jtug6 · Answer

careful with your signs. are you sure its -3?

anonymous · Answer

Yeah, it's what the answer key said :P This is a practice packet from my state's DOE.

jtug6 · Answer

oh nvm i just did it lol woops

jtug6 · Answer

righto. so now you have x so just pop that into either equation and solve for y :D

anonymous · Answer

Oh ok! hahahaha glad it's all good :)

jtug6 · Answer

(id use the bottom one again its easier lol)

anonymous · Answer

Thank you so much for all your help!

jtug6 · Answer

yup  no problem