A community for students.
Here's the question you clicked on:
 0 viewing
EXOEXOEXO
 one year ago
((2x3)/4)((x2)/3)=2
EXOEXOEXO
 one year ago
((2x3)/4)((x2)/3)=2

This Question is Closed

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Thank you for using parenthesis respectively.

EXOEXOEXO
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{ 2x3 }{ 4 }\frac{ x2 }{ 3 }=2\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Lets start by finding the LCM between \(4~,~ 3~,~ 1\) (since 2 is over 1)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1This will help turn our function into a linear problem and make it easier to solve

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1That's right, 12. Now we multiply all the terms by 12. \[(4)(3)\left[\frac{ 2x3 }{ 4 }\frac{ x2 }{ 3 }=2\right]\]

EXOEXOEXO
 one year ago
Best ResponseYou've already chosen the best response.1when we multiply the whole equation by 12 do we multiply the numerator and the denominator too?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{2x3}{4} \cdot (4)(3)= 3(2x3)\]\[\frac{x2}{3} \cdot (4)(3) = (4)(x2)\]\[2\cdot (4)(3) = 24\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Do you see what I mean?

EXOEXOEXO
 one year ago
Best ResponseYou've already chosen the best response.1I don't understand how you got 3(2x3) and 4(x2)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1When I multiplied both the numerator and denominator by 12, or (4)(3), I see that the 4 in the denominator cancels with the 4 im multiplying by \[\frac{2x3}{\cancel{4}} \cdot \cancel{(4)}(3)= 3(2x3)\] Multiplying the second fraction by (4)(3), the 3 gets cancelled out the same way\[\frac{ x2 }{ \cancel{3} } \cdot (4)\cancel{(3)} = 4(x2)\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Sorry, forget about the negative infront of the second fraction for now, we'll deal with that later.

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Does that make more sense though?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Alright let's see if that's correct

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1\[3(2x3)4(x2)=24\]\[6x94x+8=24\]\[2x1=24\]\[2x=25\]\[x=\frac{25}{2} =12.5 \qquad \checkmark\] Good job.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.