The system of equations is inconsistent. What are the missing values? 5x + ___ y=2 ___x + 3y = 8
If you do the SAME thing and get DIFFERENT answers, that is INCONSISTENT.
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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.
Are "8" and "2" the SAME?
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.
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
3*(5x + 1y) ---> 15x + 3y
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
hmm makes sense
it did thankyou this is one of the subjects i am bad it
It's alright hope you understand it better now
i do :)
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 ;)
\(5x + 3y = \;\;2\) \(\underbrace{5x + 3y} = \underbrace{8}\) \(SAME\;\;\;Different\) Inconsistent.
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