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
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
NotTim
  • NotTim
You know to use variables?
anonymous
  • anonymous
ummm....yea
NotTim
  • NotTim
ok. im pretty you know how to do this then. what have you done so far?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
A + B = 170 A - B = 26
NotTim
  • NotTim
yup
anonymous
  • anonymous
okay so then wat do i do next?
NotTim
  • NotTim
now, rearrange one of the equations to solve for either a or b.
NotTim
  • NotTim
ok?
anonymous
  • anonymous
okay so then will it be: 26+b=170?
anonymous
  • anonymous
idk how tor do this ;(
NotTim
  • NotTim
no...i dont think so...
NotTim
  • NotTim
take A + B = 170. can you isolate a for me?
anonymous
  • anonymous
umm...-b+170..idk
NotTim
  • NotTim
a=-b+170. good. now sub that into A - B = 26 (for a)
anonymous
  • anonymous
So then would b=144
NotTim
  • NotTim
i dunno. maybe?
anonymous
  • anonymous
wat do u mean maybe???
NotTim
  • NotTim
i didnt do the math myself
NotTim
  • NotTim
you have to divide that by 2...
NotTim
  • NotTim
-2.
NotTim
  • NotTim
and originally, it would have been -144, not 144
Hero
  • Hero
You can do all of that or you can simply add both equations together: A + B = 170 A - B = 26 ___________ 2A = 192 A = 192/2 A = 96 B = A - 26 B = 96 - 26 B = 70
anonymous
  • anonymous
so it would be 72?
Hero
  • Hero
Well I obviously added wrong
anonymous
  • anonymous
yah think lol ;)
Hero
  • Hero
A + B = 170 A - B = 26 ___________ 2A = 196 A = 196/2 A = 98 B = A - 26 B = 98- 26 B = 72
anonymous
  • anonymous
Okay thnk u @hero but @NotTim cna u still help me solve the second part?
Hero
  • Hero
What second part?
Hero
  • Hero
You were only supposed to find the two numbers. A is one number. B is the other number. A = 98 B = 72 Is there something else you need to find besides that?
anonymous
  • anonymous
No i need to know how to find 98 word for word
Hero
  • Hero
When solving systems of equations, there are five methods you can use: 1. Substitution 2. Elimination 3. Addition 4. Graphing 5. Slope-Intercept
Hero
  • Hero
Which method are you confused about?
anonymous
  • anonymous
okay this is wat i'm tlking about: how did u get 2A=196?
Hero
  • Hero
I added the two equations together.
Hero
  • Hero
The elimination method involves adding equations together to eliminate variables.
Hero
  • Hero
In this case I added A + B = 170 to A - B = 26. When you add two equations together, you add like terms. Therefore: A + A = 2A B - B = 0 170 + 26 = 196 Thus 2A + 0 = 196 or simply 2A = 196
Hero
  • Hero
|dw:1333594928235:dw|
anonymous
  • anonymous
Ok is this how u do it: > a-b=26 > -b=-a+26 > -170=-a+26 > -a=196 > 196/2=x > x= 98 ..Did i do tht right? :)
Hero
  • Hero
Where did x come from? We started out with variables A and B. Look at the drawing I posted above. That is the simplest way of understanding how to get from the given equations to 2A = 196
Hero
  • Hero
By the way -a = 196 is false so you must have done something wrong.
anonymous
  • anonymous
well a=196..there....nd the x is just a random thing wat is it suppose to be a or b?
Hero
  • Hero
2A = 196
anonymous
  • anonymous
okay tht does make it easier becuz all u wuld have to do to is divide the 2 by the 196...thnk u ;)

Looking for something else?

Not the answer you are looking for? Search for more explanations.