anonymous
  • anonymous
Find an ordered pair that is a solution of the system 4 2 1 3 2 3 x y x y + = -    - =
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
What the..? Wait.
anonymous
  • anonymous
4x+2y=-1 3x-2y=3
Hero
  • Hero
Add the equations together and what do you get?

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anonymous
  • anonymous
Hmm
anonymous
  • anonymous
How do I add them?
chris
  • chris
Combine all of the like terms. Since you know that 4x+2y=-1 and 3x-2y=3, you also know that 4x+2y + 3x -2y = -1 + 3
anonymous
  • anonymous
so, x=2/7 ?
chris
  • chris
good work =)
chris
  • chris
now how do you get y when x=2/7?
anonymous
  • anonymous
umm, i think you just substitute right? O.o
chris
  • chris
yep =) [just plug x=2/7 back into either equation]
anonymous
  • anonymous
Yay! This is easy =D Thank youu.
chris
  • chris
No problem. Now the general way to solve these types of problems (systems of equations), is to solve for one variable first, and then substitute back into the other equation. To do this, you mus have a separate equation for each unknown variable - for example in this problem there are two equations and two unknowns.
anonymous
  • anonymous
Yes I get it! But for example you have like: 4x+4y=-1 3x-2y=3 What do you do here? you can't cancel the 'y' or 'x' out
chris
  • chris
well, you actually can if you know a small trick.
chris
  • chris
if you know that 3x - 2y = 3, you can multiply both sides by the same number and the equation will still be true (equivalent)
chris
  • chris
in this case, I can multiply both sides by 2
chris
  • chris
so 2(3x -2y) = 2*3
chris
  • chris
6x - 4y = 6
chris
  • chris
Now you can cancel out all of the y's by adding the two equations
chris
  • chris
4x + 4y = 4 6x - 4y = 6
anonymous
  • anonymous
Aooh! *smart* :P :D
anonymous
  • anonymous
I like it! Thanks a lot for the help.
chris
  • chris
No problem. There are other ways to solve these types of problems, but just ask here when you find a case where it's hard to find a way to cancel out =). good luck!
anonymous
  • anonymous
btw, the ordered pairs are : (0,-5/14) and (2/7,0) ?

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