anonymous
  • anonymous
Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 4x - 3y = 6 -12x + 9y = -24
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@JoannaBlackwelder
anonymous
  • anonymous
how do i solve this one
anonymous
  • anonymous
is it like the last one we did

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JoannaBlackwelder
  • JoannaBlackwelder
It says you can use any method. Do you have a preference?
anonymous
  • anonymous
i dont lol
JoannaBlackwelder
  • JoannaBlackwelder
No, it is not a partial fraction decomp.
JoannaBlackwelder
  • JoannaBlackwelder
I like the addition method. Let's use that.
anonymous
  • anonymous
ok
JoannaBlackwelder
  • JoannaBlackwelder
So, we need to make the equations so one variable cancels.
JoannaBlackwelder
  • JoannaBlackwelder
When we add them
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439920308781:dw|
anonymous
  • anonymous
ok
anonymous
  • anonymous
so do we cancel out the y or xes first
JoannaBlackwelder
  • JoannaBlackwelder
Either is fine. What do we need to do to cancel the x's?
anonymous
  • anonymous
add them together
anonymous
  • anonymous
these are my answer
1 Attachment
JoannaBlackwelder
  • JoannaBlackwelder
Ok, if we just add them together directly we get:
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439920522907:dw|
anonymous
  • anonymous
haha i just got that
anonymous
  • anonymous
like the same time you diid but you posted it first
JoannaBlackwelder
  • JoannaBlackwelder
Ok, but that doesn't cancel out either variable.
JoannaBlackwelder
  • JoannaBlackwelder
So, we need to multiply up the equations so that when we add them, one of the variables cancels.
anonymous
  • anonymous
ok so how do we do that
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1439920656644:dw|
anonymous
  • anonymous
ok i still dont fully comprhend what you did there
anonymous
  • anonymous
@JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
I took the first equation and multiplied it by 4 so that the coefficients of the x terms are equal but opposite signs.
anonymous
  • anonymous
ohh ok makes sence
anonymous
  • anonymous
so is my answer c
anonymous
  • anonymous
@JoannaBlackwelder
anonymous
  • anonymous
@isaac4321
JoannaBlackwelder
  • JoannaBlackwelder
No, we need to add the equations together now.|dw:1439921457921:dw|
JoannaBlackwelder
  • JoannaBlackwelder
Both variables end up canceling out. And what is left over is not a true statement since 0 does not in fact equal -6
JoannaBlackwelder
  • JoannaBlackwelder
When that happens, the equations have no solution.
anonymous
  • anonymous
well umm my answer dont have that as a thing to choose
JoannaBlackwelder
  • JoannaBlackwelder
D is the notation for no solution
anonymous
  • anonymous
ohh i knew that lol
JoannaBlackwelder
  • JoannaBlackwelder
No worries :-)

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