anonymous
  • anonymous
Auditions for a new, upcoming band in Chicago were held with 102 men and women trying out for the lead singer position. If twice the number of men less three times the number of women is equal to -6, how many women auditioned?
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

PaxPolaris
  • PaxPolaris
Using two variables let m be the number of men, ... & w the number of women \[\Large m+w=102\] \[\Large 2m-3w=-6\]
anonymous
  • anonymous
i already had an equation written out ; i just don't know what to do from there ..
PaxPolaris
  • PaxPolaris
multiply the first eq by 2

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

PaxPolaris
  • PaxPolaris
then subtract the second equation
anonymous
  • anonymous
What ? How would i do that .. Do i multiply 102 by 2 ??? I am soooo confused , i have been reading all my lessons and doing all my work i just don't get it, it makes no sense to me ...
PaxPolaris
  • PaxPolaris
Well actually there are to methods, the use of simultaneous equations that i used above and using substitution...
anonymous
  • anonymous
Okay well how does the substituion method work ?
PaxPolaris
  • PaxPolaris
*2 methods Using substitution: \[\large m+w= 102\]\[\large \implies w=102-m\] put that in 2nd equation
PaxPolaris
  • PaxPolaris
\[\large 2m-3\left( 102-m \right)=-6\]
anonymous
  • anonymous
Okay ; now i get it ! Thanks (:
PaxPolaris
  • PaxPolaris
\[\large \implies 2m-306+3m=-6\]\[\large \implies 5m=306-6\]\[\large \implies 5m=300\]
PaxPolaris
  • PaxPolaris
\[\Large m=60\]\[\Large w={\large 102-60}=42\] Using simultaneous equations:\[\large m+w=102\]\[\large \implies 2m+2w=204\] Subtracting the second equation:\[\Large \begin{matrix}2m+2w=204 \\ 2m-3w=-6 \\ -\ \ \ \ \ \ \ +\ \ \ \ \ \ \ \ +\ \ \ \ \ \ \\ \overline{\ \ \ \ \ \ \ \ \ \ 5w=210}\end{matrix}\]

Looking for something else?

Not the answer you are looking for? Search for more explanations.