Message from @Warren H
Discord ID: 407369172478328833
Multiply both sides by 5
so on the left you have 45 u
an the right the 5 on the bottom cancels out with the 5 on the top you just multiplied
so 45u = 6
then divide both sides by 45
so u = 6/45
6 is 2\*3, and 45 = 15\*3
so u = (2\*3)/(15\*3)
the 3 on top and bottom cross out
so u = 2/15
@Warren H oh you want it the way they did it in the picture? it is similar:
starting from 9u = 6/5
Your way seems easier. There's was confusing as heck
How did you know 15 x 3? Instead of 9x5?
I'm bad with fractions lol
I'll do it closer to the way they did it:
starting from 9u = 6/5
divide both sides by 9, so u = (6/5) * (1/9)
so u = 6/(5*9)
now 6 is 2\*3 and 9 is 3\*3
so u = (2\*3)/(5\*3\*3)
cross out a 3 on top and bottom
so u = 2/(5*3)
so u = 2/15
yep
So I do that every time? Divide both sides by whatever the number is?
Yep that will always work
Awesome thanks. One more, this one is a negative number. I'm guessing it works the same?
-4w = 6/7
So divide both sides by -4 and I get 6/7 * 1/4? Or -1/4
Yep:
divide both sides by -4, so w = 6/(7* -4)
6 is 2\*3 and -4 is 2\*-2
so w = (2\*3) / (7\*2\*-2)
then cross out the two on top and bottom
so w = 3/(7*-2)
so w = 3/(-14) or equivalently w = -3/14
@Warren H the second one
the negative sign stays with the number it is attached to
Okay. So I got 3/7 the first time. But it's actually negative 3/14ths? Or -3 over 14?
Yep. If you're asking if there is a difference between " negative 3/14ths vs -3 over 14" the answer is no, they have the same value
Uh. Divide both sides by 9
Oh geez
I didn't see all this
@Warren H One thing you might notice at the beginning: think about the equation -4w = 6/7
one things you might notice is that the left side is -4 * w, and the left side is a positive number (specifically 6/7)
that means w times a negative number is something positive
so whatever w is, w must be some negative number, since -4 times a positive number would be negative.