keana
  • keana
9r-2(r=3)=5(3r-4)-26 A: r= ? B: every real number is a solution C: the equation has no solution
Mathematics
chestercat
  • chestercat
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Nnesha
  • Nnesha
two `=` equal signs ?
keana
  • 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 ?

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keana
  • keana
yeah
Nnesha
  • Nnesha
oh alright thats fine 1st) distribute parentheses by outside term
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 ?
keana
  • keana
9r-2r-6=15r-20--26?
Nnesha
  • Nnesha
nice combine like terms!
Nnesha
  • Nnesha
it's -26
keana
  • keana
7r-6=15r+(-46)?
keana
  • keana
-6=8r+(-46)?
Nnesha
  • Nnesha
right!
keana
  • keana
now what?
Nnesha
  • Nnesha
now move the numbers to the other side of the equal sign
Nnesha
  • Nnesha
-46 to the left side then solve for r
keana
  • 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!
keana
  • keana
so is -5 the answer
Nnesha
  • Nnesha
wait a sec i have to check it1 more time
keana
  • 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 ?
keana
  • keana
i added 46 to each side
Nnesha
  • Nnesha
yes right so -6+46= ???
Nnesha
  • Nnesha
46 id greater than -6 so sign would be what as a final answer ?
keana
  • keana
i got -40
Nnesha
  • Nnesha
no
keana
  • keana
-6+46 is -40
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 ?
keana
  • keana
ok
Nnesha
  • Nnesha
so 46 is greater than 6 right ?
keana
  • 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
keana
  • keana
ok yeah i made a typo on my calculator
keana
  • keana
so 5?
Nnesha
  • Nnesha
yes right
Nnesha
  • Nnesha
you can check ur answer substitute x for 5 if you get equal sides then yes 5 is right !
keana
  • keana
ok it was right, awesome
Nnesha
  • Nnesha
i mean for r**
keana
  • keana
thanks a ton
Nnesha
  • Nnesha
yep:=) if you replaced r for -5 you wouldn't get the equal sides
Nnesha
  • Nnesha
my pleasure!! :=)

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