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So we have two unknown integers, let's call them \(\large x\) and \(\large y\). Their `product` is -40: \(\large xy=-40\) Their `sum` is -3: \(\large x+y=-3\) Understand how I came up with those two equations?
No - absolutely not.
We're labeling two unknown numbers with letters. Their `product`, this means when we multiply the two unknown numbers together, they `equal` -40.
So that gives us an equation, x times y equals -40. Similarly, `their sum is -3`. Sum means, `adding the two unknown numbers together` equals -3.
I have no idea why I can't get this
What are you getting stuck on? Are you comfortable with the idea of variables (using letters to represent unknown numbers)? Or is it the word problem part of it that's giving you trouble?
I think it is the wording...I am new to this whole algebra thing - haven't used it in 20+years ahhh
Hmm yah it can take a little getting used to. With these word problems, you just need to pay attention to key words. `sum` means you're adding things together. `product` means you're multiplying things together. `is` means equals.
if they are both negative, doesn;t that mean that one is positive?
You mean the -40 and -3 would cause one of our numbers to be positive?
yeah. I am trying to study off my text
Yes I suppose that's true. \(\large xy=-40\) We can determine that based solely on the product information. If two numbers are being multiplied together and give us a negative answer, one of them has to be positive.
This is how I would think about it. Try to break down the first part using the keywords I listed above. So we're starting with 2 unknown values. \(\large x\) and \(\large y\). `product` `is` -40. We would interpret as: `Multiplying x and y` `equals` -40.
-8 and 5
ugh I ahve paper and numbers all over
is that right? -8 and 5?
Umm one sec, lemme work it out real quick :)
yeah I think that's it....thanks for your help. It is hard trying to learn this stuff online
Yah that sounds right! Good job.
Online? Yah I'll bet. :(
thanks again :)