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Mathematics 17 Online
OpenStudy (anonymous):

WILL SOMEONE PLEASE HELP ME?! I NEED HELP ASAP!

OpenStudy (anonymous):

An equation is shown below: 9x - y = -2 Part A: Explain how you will show all of the solutions that satisfy this equation. (4 points) Part B: Determine three different solutions for this equation. (4 points) Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent. (2 points)

OpenStudy (princeharryyy):

part A ))

OpenStudy (princeharryyy):

y= 9x + 2 ... for every different x there can be a different y... so, the equation has infinite solutions... put in different x's to getrespective y's

OpenStudy (princeharryyy):

part b )))

OpenStudy (anonymous):

ok um I see what your saying but can you explain the question first it's kind of hard for me to understand what I'm supposed to do

OpenStudy (princeharryyy):

ohk..... see the second part u will get the first from it....

OpenStudy (princeharryyy):

lets put x = 1 in given equation y= 9x + 2 y = 9*1 +2 = 11, so, solution 1 is (1,11) now, put x = 2 in given equation y= 9x + 2 y = 9*2 +2 = 20, so, solution 2 is (2,20) now, put x = 3 in given equation y= 9x + 2 y = 9*3 +2 = 29, so, solution 3 is (3,29) and if u go on putting different integer on non integer x's u will find their respective y's

OpenStudy (princeharryyy):

@fluteprincess352

OpenStudy (princeharryyy):

and hence the equation can have infinite solutions....

OpenStudy (princeharryyy):

r u getting it.....

OpenStudy (anonymous):

Wow I understand! :)

OpenStudy (princeharryyy):

and, now for the third part

OpenStudy (anonymous):

Thank you! what about part C?

OpenStudy (anonymous):

oh ok

OpenStudy (princeharryyy):

for the equations to be inconsistent it means they don't have any solution

OpenStudy (princeharryyy):

and this is possible only when the line are parallel... @fluteprincess352

OpenStudy (princeharryyy):

r u getting me

OpenStudy (princeharryyy):

r u ?

OpenStudy (anonymous):

sort of

OpenStudy (princeharryyy):

good !

OpenStudy (princeharryyy):

now that means if we can make a line which is parallel to the given equation y= 9x + 2, we are done with the third part.

OpenStudy (anonymous):

oh ok don't really get this part but the 9x+2 is supposed to be the equation in order to form a system of equations that is inconsistent?

OpenStudy (princeharryyy):

wait,

OpenStudy (princeharryyy):

any equation parallel to this given line has same slope as the given equation y= 9x + 2 that means any equation which is of the form, y=9x + c . (where c is any constant) will always be inconsistent with the given line cos it will be parallel to the given line...

OpenStudy (princeharryyy):

@fluteprincess352

OpenStudy (princeharryyy):

do u understand that @fluteprincess352

OpenStudy (anonymous):

ok I kind of understand this and then not really idk I just understand this very little at least this part

OpenStudy (princeharryyy):

how do u make an equation that is parallel to the given line @fluteprincess352

OpenStudy (anonymous):

yeah I understand this just a little bit not too much

OpenStudy (princeharryyy):

ohk let me tell u , about parallel lines

OpenStudy (anonymous):

um.... I don't know sorry I suck at math

OpenStudy (anonymous):

:(

OpenStudy (princeharryyy):

lets suppose the first equation is y = mx + c and the second equation is y =m1x + k (where c and k are constants) then for these two lines to be parallel m1 = m

OpenStudy (princeharryyy):

thats wat we did in the third part... do u understand that @fluteprincess352

OpenStudy (princeharryyy):

and the required equation came out to be y = 9x + c (where c can be any constant value)

OpenStudy (anonymous):

not really I don't know where you got y or the mx or the c I just don't know

OpenStudy (princeharryyy):

that is general equation of any line compare y = 9x + 2 with y= mx + c implies m = 9 and c = 2

OpenStudy (anonymous):

oh ok

OpenStudy (princeharryyy):

:)

OpenStudy (anonymous):

Thank you for your help! :)

OpenStudy (princeharryyy):

wlcm

OpenStudy (princeharryyy):

just messaged u the answer check it in ur inbox. @fluteprincess352

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