Question

Can anyone go over this one as if they are explaining it to someone who has never seen fractions?

Solve using the elimination method
2x/5+y/3=7
x/3-y/9=3

I'm not good with fractions but I do know some about the elimination method. PLEASE HELP! I'm so confused!

Answer 1

take out a paper, I walk you through the stuff, now, I solve the 1st fraction first
\[\frac{2x}{5}+\frac{y}{3} =7\]
do you know how to make it has the same denominator?

Answer 2

multiply the first fraction by 3 and the second by 5. Those are the two smallest numbers to make it the smallest common denominator. Right?

Answer 3

good girl, tell me what you have, please

Answer 4

\[\frac{ 6x }{ 15 }+\frac{ 5y }{ 15 }=7\]

Answer 5

yes, now combine them into ONLY one fraction, do you know how to do it?

Answer 6

don't worry, just do it. me here, I can steer you on the right way.

Answer 7

\[\frac{ 6x+5y }{ 30 }\] or would it be over 15

Answer 8

over 15, re write, girl. and don't forget the = sign, you still have it, right? write out all of them, please

Answer 9

\[\frac{ 6x+5y }{ ?15 }=7\]

Answer 10

didn't mean to put that question mark in it

Answer 11

yes, now, multiply both sides by 15, what do you have?

Answer 12

that is where fractions have always gotten confusing. I know how to do the =7 side, but how do I go about multiplying the fraction side? Just the top or the entire fraction?

Answer 13

\[\frac{6x+5y}{15}*15= 7*15\]

Answer 14

does it make sense to you?

Answer 15

\[(15)\frac{ 6x+5y }{ 15 }=7(15)\] but would it end up equaling to \[\frac{ 90x+75y }{ 225 }=105\] ?

Answer 16

or would the 225 stay as 15?

Answer 17

hold on, don't go on that way, it's wrong way, will get ticket !! stop!!

Answer 18

now, see mine.