Use elimination to solve.
2x-3y=1
5x+4y=14

- anonymous

Use elimination to solve.
2x-3y=1
5x+4y=14

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- schrodinger

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- anonymous

Well, first you would have to figure out which values x and y can both have but still be equal. Do you have any in mind yet?

- anonymous

2?

- anonymous

2 to take the place of x, or y?

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## More answers

- anonymous

X?

- anonymous

Yes, if 2 was to take the place of x, it would make sense and be equal to the answer put. If you used 2 for x, It would look like this:
(2*2) - 3y = 1
(5*2) + 4y = 14

- anonymous

So that would mean that y would have to be equal to 1.

- anonymous

Do you understand now? :)

- anonymous

2x - 3y = 1
5x + 4y = 14
2x2 - 3 = 1
2x5 + 4 = 14

- anonymous

How are they equal though ? It's 4-3y=1 and 10+4y=14

- anonymous

You are trying to find the values of x and y, correct?

- anonymous

Do x and y both have to be the same in your math problem that was assigned to you?

- anonymous

No I have to find an x and y that make the equations equal

- anonymous

You mean to find x and y values so that they equal the same answer?

- anonymous

Yeah exactly

- anonymous

Oh, ok. well, what have we found out so far? Do you have an exact answer that they need to end as, or are we just trying to find out one?

- anonymous

Fund as

- anonymous

Example, did your teacher, or whomever assigned this to you give you an answer that they both must end in? Or are you supposed to figure it out yourselves?

- anonymous

Just find an x and y power in each problem that equal 1 and 14

- anonymous

Ok, well I see that x should probably equal something bigger than 2 to make it a large enough number to be able to equal y.

- anonymous

Ok, so x and y have to both equal 14 as well as 1? in each problem?

- anonymous

Yeah like the first problem equals 1so the x and y need to help it equal one and 14 in the 2nd problem

- anonymous

ok, well, the second problem is 5x + 4 = 14, and we need to find out how to make it equal 1. So, we would have to use a negative number as x then.

- anonymous

X wouod equal 2

- anonymous

ok. but how would that equal to 1?
y would have to be a negative number.
Maybe y could be -2

- anonymous

That would equal positive 2, and there is no other possible way that we will be able to make it equal 1 unless we use a decimal, and that wouldn't even equal 1 exactly because it would equal somewhere around 1 as a decimal.

- anonymous

Are you sure it asks you to find how to make x and y values to equal both 1 and 14?

- anonymous

Do you know hoe to make those drawings one ere? I'll write it out

- anonymous

Ok

- anonymous

How do you do the writing ?

- anonymous

Click, the draw button below this box where you type in a 'comment'. There are 3 blue buttons, click where it says 'Draw'.

- anonymous

|dw:1370467997041:dw|

- anonymous

|dw:1370468139186:dw|

- anonymous

|dw:1370468354907:dw|

- anonymous

this equation is hard i hate my teacher

- anonymous

lol, i meant 2*2 not 2*3 sorry :)

- anonymous

Wait, maybe this answer is correct:
2x - 3y = 1 * 5 =
10x - 15y = 5
you multiply every term in the equation by 5
next you multiply second equation by 2
I'm not sure if that is correct, but that's just another kind of way I was thinking might work. :)

- anonymous

no x equals 2 and y equals 3 we got it ! :)

- anonymous

i meant 1 equals y :)

- anonymous

ya, that's actually what I said in the beginning of the convo lol. Hope I helped though! (Even though, this was a tricky one :)

- anonymous

thanks for your help :)

- anonymous

I became your first fan!

- anonymous

yay !

- anonymous

No problem! :)

- anonymous

The sum of two numbers is 17 and their difference is 29. What are the two numbers? do you think we can figure this out ?

- anonymous

Ya Sure!

- anonymous

Ok, so since the sum of them is a lower number than the difference of them, you would have to be adding a negative number with a positive. Or if that doesn't work, we will try two negatives.

- anonymous

okay !

- anonymous

Well, 21 + -4 = 17. So all we have to do is go from there and try to figure out which two numbers will equal 17 when they're added, and 29 when they are subtracted.

- anonymous

i got it 23 and 6 !!

- anonymous

ok so 21 minus -4 = 25. so we will have to lower the first number (21) and greaten the second number (-4).

- anonymous

Sorry lets greaten the first number and the second number. 22 + -5 = 17.
22 minus -5 = 25. Now if greaten both numbers one more time, I think we will have an answer to the problem :)
So it would be:
23 + -6 = 17.
Now lets see if it will work the other way:
23 minus -6 = 29.
And there's your answer.

- anonymous

The two numbers that when added equal 17 and when subtracted equal 29, are 23 and -6.

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