Cross Multiply

[mivids]

I never get tired of watching your content

[jadajamb]

A shorter way is ..Just do a reciprocal on both sides. and separate terms.

[Itachii]

In the Q. We are asked with ratio/Fraction of n:m so you could even transfer like this:
-2m=n
-2=n/m
(Here is your answer!)

[luisclementeortegasegovia]

Always a nice and productive class! Thanks! 👍

[Gbhmagic]

very cool. im studying Trig on my own from books now. Saddly in the US the schools all are utterly dependent on graphing calculators.. The text books are.not just 600$ but also are essential nothing short of a manual for whatever the calculator the school is selling.

[muzakkyadhitya]

From the equation, can we assume that m=1 and 3m-n=5?
3m-n=5
3(1)-n=5
n=-2

n/m=(-2)/1=(-2)

[EUTSTube]

I made the reciprocal of the equation (3m-n)/m=5; 3 - n/m = 5
Finally transposing n/m then getting 3-5=-2

[SwitchRoomCafe]

Instead of plugging in (-2m) for n, you could've taken (-2m) = n and divided m, giving you -2=n/m, which was the question. I love finding more than one way to solve a problem, even if it's not drastically different.

[dougr.]

This can be figured out “by inspection”. (Mental “eyeballing”) by dividing both sides of the fraction on the left by m. This leaves you one on top and 2- n/m as the denominator, which in order to equal 5, requires that n/m = -3

[hiyelow]

Um, shareholder percentage?? What is shareholder percentage and dividends?

[andrewclifton]

m / (3m - n) = 1 / 5 ;
Divide top and bottom of the LHS by m
1 / (3 - (n / m)) = 1 / 5 ;
So left denominator = right denominator
3 - (n / m) = 5 ;
So
n/m = -2

[olenholprzez]

m/3m-n = 1/5 => m=1
3m-n=5 => 3*1-n=5 => n=(-2)
n/m = -2/1 = -2...
Why overthink it...

[joecortizo]

You could also apply ^-1 to each side, then cancel 3m with m, then you'd have n/m=-2.
Good Lord, I'm smart... 😂

[Quest]

Better u reverse both side .. now very easy to find

[anderslvolljohansen]

-2m=n, divide by m on both sides:
-2=n/m

[shashibalarai]

I did this by comparing LHS and RHS I.e.
Given: m/( 3m - n) =1/5
So let LHS numerator = RHS numerator I.e.
m=1
And LHS denominator = RHS denominator I.e.
3m - n = 5 ( now putting value of m from above, we get)
3(1) - n =5
3 - n = 5
n = -2

Evaluating n/m we get -2/1
I.e. -2



Is this a wrong method 🤔

[Exler_Ko]

Actually you could just ÷m by both side to get the answer

[sailexw]

I got to it like this:
seperate: m/3m - m/n = 1/5
flip: 3m/m - n/m = 5
simplify: 3-n/m = 5, -n/m = 2, n/m = -2

[HelloName-bgpo]

Sir please upload shorts on integration

[sakura]

Cancel m in the lhs giving 1/(3-n/m)) = 1/5
X multiplying 5= 3-n/m
Thus n/m= -2