anonymous
  • anonymous
The system of equations is inconsistent. What are the missing values? 5x + ___ y=2 ___x + 3y = 8
Algebra
katieb
  • katieb
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tkhunny
  • tkhunny
If you do the SAME thing and get DIFFERENT answers, that is INCONSISTENT.
anonymous
  • anonymous
?
anonymous
  • anonymous
inconsistent means there will not be a solution to the system of two lines. In other words, the two lines will not intersect, and are parallel.

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tkhunny
  • tkhunny
Are "8" and "2" the SAME?
anonymous
  • anonymous
An easy way to determine if two lines are parallel from the given form above... Ax + By = E Cx + Dy = F If the constants are a multiple of one another than the lines are parallel. If you can multiply, Ax+By by some number , and get Cx+Dy, the lines will be parallel.
anonymous
  • anonymous
So if you let the first equation be... 5x + 1y = 2 you can see that the second equation will be 3 times the first, The first will have 1y, and the second has 3y. So you have to multiply the 5x by 3
anonymous
  • anonymous
3*(5x + 1y) ---> 15x + 3y
anonymous
  • anonymous
The first blank is 3 the second blank is 5 therefore the same things cannot add up to 2 and 8 at the same time X) hope this helped
anonymous
  • anonymous
hmm makes sense
anonymous
  • anonymous
it did thankyou this is one of the subjects i am bad it
anonymous
  • anonymous
It's alright hope you understand it better now
anonymous
  • anonymous
i do :)
anonymous
  • anonymous
As long as the coefficients on X and Y in the second line are a multiple of the coefficients of X and Y in the second line. Using 3 and 5, means that they used a multiple of 1. keep that in mind ;)
tkhunny
  • tkhunny
\(5x + 3y = \;\;2\) \(\underbrace{5x + 3y} = \underbrace{8}\) \(SAME\;\;\;Different\) Inconsistent.

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