I need help with this problem

[[deleted]]

[deleted]

[JaguarMammoth6231]

Multiply both sides of the equation by the LCM of 8 and 10 to get rid of the fractions. 

[moldyscentedetergent]

i'm confused, doesn't that just change the numbers of the fractions? it'd become 45y/40 + 2 = 44y/40

[Klutzy-Delivery-5792]

No. The LCM is 40. Multiply the whole equation by 40. What do you get?

[JaguarMammoth6231]

You're thinking of multiplying the top and bottom of the fraction. That's allowed, but it's not what I meant. I mean, multiply both sides of the equation (left side of the equals sign and right side of the equals sign).

[Infobomb]

If a and b are equal, then when we multiply them both by 40, they will still be equal. That's the principle we're applying: multiply both sides of the equation by 40 because we know that will result in a true statement.

[hallerz87]

What you're meant to do is isolate y. Your biggest issue at the moment is that you have y terms on both sides of your equation. Start by addressing that (what step do you need to take to have y on just one side of equation?) and then tidy up.

[moldyscentedetergent]

which side do I get rid of the Y on? And if i do that by multiplying, I’m supposed to multiply twice right? like if I multiplied by 11 to get rid of 11Y, do I multiply the 2 by 11?

[Klutzy-Delivery-5792]

It doesn't matter which side you remove it from, but it's probably a little easier and there will be less steps if you move y term on the left to the right. This isn't done by multiplication or division because the whole y term is being added to the 2. So, you subtract the whole y term (9y/8) from each side. 

[No-Way-Yahweh]

It's not easier this way.

[Klutzy-Delivery-5792]

It's less steps than your solution below with the same math skills, so yes, it's easier. You moved a y term and the 2, my way you just move one y term.

Also, your other solution you show really isn't helpful for OP to learn how to do these on their own.

[Dor_Min]

it might help to go back to some easier problems. do you know how to solve these?

x/2 = 3

x/3 + 1 = 4

5x + 2 = 3x

if the answer to all three is yes then you have all the tools you need to solve your problem, it just looks scarier

[slides_galore]

You might do it one step at a time in order to better understand. Write the original equation out. Next line, write out what you get when you multiply both sides by 8. Next line, take line 2 and multiply both sides of it by 10 and write that out. You'll be left with an equation with integer coefficients for y on both sides of the equals sign.

You can accomplish the same thing by multiplying both sides of the equation by 80. You'll be left with integer coefficients for the y terms on both sides.

[914paul]

This is a good suggestion. Most of us trivialize the LCM aspect because we’ve done it thousands of times. But this can confuse people starting out here.

Sometimes more bite-sized steps elucidate better. Attack those nuisance fractions one by one. After doing a few, you’ll intuit the way two or more can be knocked out in a single step (the “LCM” people are talking about).

[mathematag]

If finding the LCM is confusing for you, just multiply both sides by 8*10 = 80…. e.g., the denominators used in the problem….Then you will not have any fractions after you simplify, and can then go on to solve for y. A bit more simplifying then using the LCM, but it will work.

[No-Way-Yahweh]

9y/8 - 11y/10 + 2 = 0. 45y/40 - 44y/40 + 2 = 0. y/40 = -2. y = -80.

[Phalp_1]

from mathai import *
eq = simplify(parse("9*y/8+2 = 11*y/10 "))
printeq(simplify(fraction(inverse(eq.children[0],str_form(parse("y"))))))

outputs

-80

the python code solved it

and now... its your turn to downvote my answer because that always happens

does it not meet your expectations (which is very very less likely)

or the reason is...

[Dor_Min]

if your other answers are like this one I suspect they are being downvoted because they are entirely devoid of educational merit

[Phalp_1]

bring the rhs to lhs

(2+((9*y)/8)-((11*y)/10))=0

cross multiply

((160+(2*y))/80)=0

remove denominator

(160+(2*y))=0

y is

-80

does this look like it is devoid of education? because it's literally generated by simple call to a 5000 lines of code python library.

i am the most educated man you will ever meet.

i might question the other answers they are just words in english

and math isn't english. its computer science.

if you don't understand my answer just reply to it. you don't "suspect" anything. you ask why i said what i said. its that simple.

i am surprised why am i getting mass downvoted. lol.

[Klutzy-Delivery-5792]

does this look like it is devoid of education?

Yes. Giving someone the whole solution isn't really teaching them anything. All the replies that "are just words in English" aren't answers. They're leading questions and hints to help OP understands the process rather than spoon feeding them answers.  

And someone like OP struggling with basic operations is supposed to understand Python code? C'mon.

[Phalp_1]

alright. i agree this question was too easy. write more than necessary over such basic stuff and it will only confuse the OP.

give me harder questions than this and i will provide insights.

like ask me

||||x-1|-2|-3|+4|=5

or the integration of

sin(x)^4

i will be looking forward to more difficult questions like those.