Use elimination to solve the system. What is the value of x?
4x + 7y = -14 and 8x + 5y = 8

- anonymous

Use elimination to solve the system. What is the value of x?
4x + 7y = -14 and 8x + 5y = 8

- jamiebookeater

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- jim_thompson5910

Hint: Multiply everything in the first equation by -2 to go from
4x + 7y = -14
to
-8x - 14y = 28

- jim_thompson5910

So you now have the two equations
-8x - 14y = 28
8x + 5y = 8

- anonymous

That's solving for x first and then plugging it back to get y. I thought that the OP wanted to do it from that one step.

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## More answers

- jim_thompson5910

you can go a number of ways, you can multiply the top equation by 5 and the bottom equation by -7, then add

- anonymous

im just getting more confused

- anonymous

I believe the answer is -14.

- anonymous

these are the options.
3.5
-1.5
8
-4

- anonymous

Oh then i bet the answer is -5

- jim_thompson5910

Do you see how I went from
4x + 7y = -14
to
-8x - 14y = 28

- jim_thompson5910

it's not -5

- jim_thompson5910

please don't give away the (incorrect) answer

- anonymous

sorry, if you would just give her the right answer, i would be able to go on with my day. As would she

- jim_thompson5910

I'm providing hints and trying to walk her through it (without giving it all away)

- anonymous

No matter how many hints your provide she doesn't care. she just wants the answer

- jim_thompson5910

well that's not what this site is for, I'm sry

- jim_thompson5910

if you keep this behavior up jefferyflow123go you will be reported (and possibly suspended/banned)

- anonymous

its hard for me too understand..im trying. i learn better in a class room thats why i am having trouble with my online class

- jim_thompson5910

its ok, you don't have to understand everything at once katie2212

- anonymous

but i have to understand if i want to finishe this exam.

- anonymous

Sorry for hekping. My mom always taught me to hekp and have pride in my work, so trying to be of assistance. I didn;t realize that you can be the only genious here. If you were that smart you'd know that she doesn't understand your hints and just wants the answer.

- jim_thompson5910

that's not helping though, you may think it is...but it's not

- jim_thompson5910

if you want, you can provide the steps so she can learn from them

- anonymous

okay will you guys please stop arguing and just help me!

- jim_thompson5910

ok I'll give steps on this one and hopefully it will be enough to answer similar ones, sound good?

- anonymous

IS your refrigderator running
? IF SO GO CATCH IT

- anonymous

yes thank you

- anonymous

My momma once told me, a fast runna' is the best runnna'

- anonymous

jeffery if youre not going to help please get out.

- anonymous

BUT IM JUST TRYNA HELP YOU. ILL CATCH YOUR FRIDGE FR YOU.

- anonymous

What did the bison say to his son when he left for college? Bi-son

- jim_thompson5910

4x + 7y = -14 ... Start with the first equation
-2(4x + 7y) = -2*(-14) ... Multiply both sides by -2
-8x - 14y = 28 ... Distribute and multiply
---------------------
So
4x + 7y = -14
is the same as
-8x - 14y = 28
---------------------
This means that the system
4x + 7y = -14
8x + 5y = 8
becomes
-8x - 14y = 28
8x + 5y = 8
Now add the two equations:
-8x - 14y = 28
8x + 5y = 8
--------------
0x - 9y = 36
which means that
-9y = 36
Solve for y to get
-9y = 36
y = 36/(-9)
y = -4
Now that we know that y = -4, we can use this to find x. Pick on any equation, plug in y = -4 and solve for x
4x + 7y = -14
4x + 7(-4) = -14
4x - 28 = -14
4x = -14 + 28
4x = 14
x = 14/4
x = 7/2
x = 3.5
So the value of x is x = 3.5

- anonymous

IM SO PUN-NY

- anonymous

IM A MaTH WIZ

- anonymous

Thank you Jim

- anonymous

yanno wizard like Harry Potter

- jim_thompson5910

The idea here is to get the x coefficients equal and opposite. Then you add the equations. Doing so will cancel out the x terms so you can solve for y

- jim_thompson5910

then you use that value of y to find x

- jim_thompson5910

you've been reported jefferyflow123go, have a nice day

- anonymous

you too good sir(:

- jim_thompson5910

good luck with that one, I don't spam and harass others so your claim will be without merit

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