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anonymous
 one year ago
Solve and check for extraneous solutions
16=3(x1)(x7)
anonymous
 one year ago
Solve and check for extraneous solutions 16=3(x1)(x7)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0not sure what "extraneous" solutions means in this context it is a linear equation right? no radials, no denominators

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0distribute first on the right both the 3 and the minus sign

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0let me know what you get

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so I got 2x+6=16

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0think there is a mistake there the \(2x\) is right, but where did the \(6\) come from?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[3(x1)(x7)=3x3x+7\] is a start

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oops forgot the distributive law didn't you?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[3(x1)=3x3\times 1\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0right \[2x+4=16\] takes only 2 steps to solve

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0a) subtract 4 b) divide by 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0first off \(164\neq 10\) and secondly \(\frac{10}{2}\neq 2\) so both steps are wrong

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so \[2x+4=16\\ 2x=12\] is a the first step

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x=6! So sorry, it's late where I am lol so I have a sleepy brain I suppose

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0second step is \(x=\frac{12}{2}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0How do we check for extraneous solutions?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there are no extraneous solutions with linear equations, nothing to check

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can replace x by 6 in the original equation and see that it works if you like but it is right, nothing is extraneous here

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok:) Can I ask another? I'll be better haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0x/3=x/22 Check for extraneous solutions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is this \[\frac{x}{3}=\frac{x}{2}2\] like that ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you have a choice you can work with the fractions or you can get rid of them

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Actually, which ever is simpler

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then since the least common multiple of 2 and 3 is 6, if you multiply both sides by 6 they will be gone most people i think like getting rid of fractions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[6\times \frac{x}{3}=6\times (\frac{x}{2}2)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think I did it wrong bc I got 2x/63x/6

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0since \(\frac{6}{2}=3\) and \(\frac{x}{3}=2\) you end up with \[2x=3x18\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you forgot to get rid of the 6 when you cancelled

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[6\times \frac{x}{3}=2x\] not \(\frac{2x}{6}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so now you have \[2x=3x18\] which takes 2 steps to solve you see where the \(18\) came from?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it wouldnt be extraneous?
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