um i have another one @jagr2713 and @sleepyjess do you mind helping me? Last one I promise :)
Sure :D
Awesome
I will let @jagr2713 get this one, I have to go
why D:
ok Here it is \[1/3x +1/3 (2x-5 )=3 1/2\]
awww ok @sleepyjess
my mistake its not 31 over 2 its 3 and 1/2
oh there we go i was like what?
lol
and those are fractions not division problems haha
\[\frac{ 1 }{ 3 }x+\frac{ 1 }{ 3 }(2x-5)=3\frac{ 1 }{ 2 }\]
?
yea thats it ...how did you do that?
press the equations button
ok
oh i figured it out haha nvm
me to lol :D
wait figure out the question the equation thing?
the equation button thing
oh ok lets finish what were doing
ok
i have no idea what to do on this one
ok first we convert the mix numbers\[3\frac{ 1 }{ 3 }\] into an improper fraction first by multiplying the denominator (2) by the whole number part (3) and add the numerator (1) to get the new numerator. Place the new numerator (7) over the old denominator (2). and we get \[\frac{ 1 }{ 3 }x+\frac{ 1 }{ 3}(2x-5)=\frac{ 7 }{ 5 }\]
then we simply each term and what do we get?
um i have no idea i hate fraction equations
so we multiply 1/3 by x to get (1/3)x \[(\frac{ 1 }{ 3 })x+\frac{ 1 }{ 3}(2x-5)=\frac{ 7 }{ 2 }\]
then we simplify \[\frac{ x }{ 3 }+\frac{ 1 }{ 3 }(2x-5)=\frac{ 7 }{ 2 }\]
ok what do we multiply next?
-_- i don't know :( um inside the () ?
close but we multiply 1/3 by 2x-5 to get (1/3)(2x-5) \[\frac{ x }{ 3 }+(\frac{ 1 }{ 3 })(2x-5)=\frac{ 7 }{ 2 }\]
then we apply the distributive property \[\frac{ x }{ 3 }+(\frac{ 1 }{ 3 })(2x)+(\frac{ 1 }{ 3 })(-5)=\frac{ 7 }{ 2 }\]
what do you think we do with 1/3 and 2x
make it 2 and 1 /3 x?
close again but we simplify to make it \[\frac{ x }{ 3 }+\frac{ 2x }{ 3 }+(\frac{ 1 }{ 3 })(-5)=\frac{ 7 }{ 2 }\]
from reading that what do we do to 1/3 and -5
multiply
simplify yes and what do we get
um -1.67
now like the other one we do we get \[\frac{ x }{ 3 }+\frac{ 2x }{ 3 }+\frac{ -5 }{ 3 }=\frac{ 7 }{ 2 }\]
next we move the negative in the front of the fraction, what do we get
x/3 + -5/3 + 2x/3 = 7/2
brb
k
correct but you just flip 2x/3, -5/3
\[\frac{ x }{ 3 }+\frac{ 2x }{ 3 }-\frac{ 5 }{ 3 }=\frac{ 7 }{ 2 }\]
i have to go in a min...can we kinda speed this up? not meaning to be rude
ok now for me i usually combine the to numerators u can if u want but i am going to combine and get \[\frac{ x }{3 }+\frac{ 2x-5 }{ 3 }=\frac{ 7 }{ 2 }\] the den stays the same
umm sure
:)
ok but u have at least 5mins
no maybe 2
2 mins that is
ok
Combine x/3+(2 x-5)/3 into a single fraction. x/3+(2 x-5)/3 = ((2 x-5)+x)/3: (2 x+x-5)/3 = 7/2 Group like terms in 2 x+x-5. Grouping like terms, 2 x+x-5 = (x+2 x)-5: ((x+2 x)-5)/3 = 7/2 Add like terms in x+2 x. x+2 x = 3 x: (3 x-5)/3 = 7/2
whoa
u want me to go fast right?
yes haha
Multiply both sides by a constant to simplify the equation. Multiply both sides of (3 x-5)/3 = 7/2 by 3: (3 (3 x-5))/3 = 3×7/2 Express 3×7/2 as a single fraction. 3×7/2 = (3×7)/2: (3 (3 x-5))/3 = (3×7)/2 Cancel common terms in the numerator and denominator of (3 (3 x-5))/3. (3 (3 x-5))/3 = 3/3×(3 x-5) = 3 x-5: 3 x-5 = (3×7)/2 Multiply 3 and 7 together. 3×7 = 21: 3 x-5 = 21/2 Isolate terms with x to the left hand side. Add 5 to both sides: 3 x+(5-5) = 21/2+5 Look for two terms that sum to zero. 5-5 = 0: 3 x = 21/2+5 Put the fractions in 21/2+5 over a common denominator. Put 21/2+5 over the common denominator 2. 21/2+5 = 21/2+(2×5)/2: 3 x = 21/2+(2×5)/2 Multiply 2 and 5 together. 2×5 = 10: 3 x = 21/2+10/2 Add the fractions over a common denominator to a single fraction. 21/2+10/2 = (21+10)/2: 3 x = (21+10)/2
whats next?
wow 0.0
you dont get it?
not really
yea i cant do it in 2mins lol
well can you just give me the answer? please?
i cant but i am almost done :D just couple more secs
:( fine
ok now we evaluate 21+10 so we get 31 \[3x=\frac{ 31 }{ 2 }\]
now we solve for x so we divide both sides by 3 \[x=\frac{ 31 }{ 2*3 }\]
whats the answer?
you there @koolkat13
5.16
no this is the easiest part what is 3*2
6
so the answer is?
31/6 = 5.167
31/6 is correct but you dont have to divide anymore b.c 31 doesnt go into 6 so leave as it is ;D
oh ok hehe
:D now you may leave
haha ok thx bye :D
bye
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