anonymous
  • anonymous
Write a system of two equations using x and y for the following problem: The sum of two numbers is 170 and their difference is 26. Find the two numbers.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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Mertsj
  • Mertsj
x+y=170 x-y=26
Mertsj
  • Mertsj
Add the two equations. Can you do that?
anonymous
  • anonymous
I think so.

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anonymous
  • anonymous
Solve for one variable in one of his equations above and substitute that variable into the other equation.
anonymous
  • anonymous
substitute that solution for that variable in the other*
Mertsj
  • Mertsj
Did you get it?
anonymous
  • anonymous
No.
Mertsj
  • Mertsj
What did you get when you added the two equations?
anonymous
  • anonymous
How do I add them?
Mertsj
  • Mertsj
I will show you. Watch
anonymous
  • anonymous
ok.
Mertsj
  • Mertsj
|dw:1327681559717:dw|
anonymous
  • anonymous
so is that xy+0= 196?
anonymous
  • anonymous
thats a 2x
Mertsj
  • Mertsj
x+x=2x
anonymous
  • anonymous
Oh ok.
Mertsj
  • Mertsj
y+-y=0
anonymous
  • anonymous
You can use substitution here. Solve for x in terms of y in one equation
anonymous
  • anonymous
for instance, x-y = 26 x= y + 26
anonymous
  • anonymous
Is this exact question standard in this year's text books or something?
Mertsj
  • Mertsj
Ok. These other guys want to help you now. I'm outta here.
anonymous
  • anonymous
Then plug this into the other equation. (y+26)+y=170 2y = 26 = 170 y = (170-26)/2 y=72
anonymous
  • anonymous
Then you can plug this 72 into the other equation x = y + 26 x = 72 + 26 = 98
anonymous
  • anonymous
so X = 98?

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