Mathematics
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OpenStudy (keana):
9r-2(r=3)=5(3r-4)-26
A: r= ?
B: every real number is a solution
C: the equation has no solution
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Nnesha (nnesha):
two `=` equal signs ?
OpenStudy (keana):
9r-2(r+3)=5(3r-4)-26 my bad
Nnesha (nnesha):
\[\huge\rm 9r-2(r+3)=5(3r-4)-26\] is this ur quesiton ?
OpenStudy (keana):
yeah
Nnesha (nnesha):
oh alright thats fine
1st) distribute parentheses by outside term
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Nnesha (nnesha):
\[\huge\rm 9r\color{blue}{-2}(r+3)=\color{ReD}{5}(3r-4)-26\]
distribute (3r-4) by 5
and distribute (r+3) by -2
Nnesha (nnesha):
familiar with the distributive property ?
OpenStudy (keana):
9r-2r-6=15r-20--26?
Nnesha (nnesha):
nice combine like terms!
Nnesha (nnesha):
it's -26
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OpenStudy (keana):
7r-6=15r+(-46)?
OpenStudy (keana):
-6=8r+(-46)?
Nnesha (nnesha):
right!
OpenStudy (keana):
now what?
Nnesha (nnesha):
now move the numbers to the other side of the equal sign
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Nnesha (nnesha):
-46 to the left side then solve for r
OpenStudy (keana):
-40=8r
r=-5
Nnesha (nnesha):
you should take the variables term on one side and number to the opposite side
Nnesha (nnesha):
nvm. that's right!
OpenStudy (keana):
so is -5 the answer
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Nnesha (nnesha):
wait a sec
i have to check it1 more time
OpenStudy (keana):
i tried -5 and it said it was wrong so that cannot be right lol
Nnesha (nnesha):
would you add or subtract 46 both sides ?
Nnesha (nnesha):
it's already negative on the right side how would you cancel out -46 from right side ?
OpenStudy (keana):
i added 46 to each side
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Nnesha (nnesha):
yes right so -6+46=
???
Nnesha (nnesha):
46 id greater than -6 so sign would be what as a final answer ?
OpenStudy (keana):
i got -40
Nnesha (nnesha):
no
OpenStudy (keana):
-6+46 is -40
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Nnesha (nnesha):
no
Nnesha (nnesha):
if bigger number is negative `then` answer would be negative
-3+2=-1
3-2=1
Nnesha (nnesha):
do you see the difference ?
OpenStudy (keana):
ok
Nnesha (nnesha):
so 46 is greater than 6 right ?
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OpenStudy (keana):
yeah
Nnesha (nnesha):
yes so if 46 is positive answer would be positive when you subtract
if 46 is negative then would be negative
-46+6=-40
`but`
46-6=40
OpenStudy (keana):
ok yeah i made a typo on my calculator
OpenStudy (keana):
so 5?
Nnesha (nnesha):
yes right
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Nnesha (nnesha):
you can check ur answer
substitute x for 5 if you get equal sides then yes 5 is right !
OpenStudy (keana):
ok it was right, awesome
Nnesha (nnesha):
i mean for r**
OpenStudy (keana):
thanks a ton
Nnesha (nnesha):
yep:=)
if you replaced r for -5 you wouldn't get the equal sides
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Nnesha (nnesha):
my pleasure!! :=)