anonymous
  • anonymous
Fan and Medal Which of these equations are linear equations?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
vikstar2.0
  • vikstar2.0
what are the equations
anonymous
  • anonymous
\[\frac{ x }{ 4 } - \frac{ y }{ 3 } = 1 \]
vikstar2.0
  • vikstar2.0
thats it or is there more

Looking for something else?

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

More answers

anonymous
  • anonymous
there is more
anonymous
  • anonymous
just wait im typing the equation
anonymous
  • anonymous
\[\frac{ 5 }{ x } - \frac{ 2 }{ y } = 7\]
anonymous
  • anonymous
So is it: a)the first one b)the second one c)or both
vikstar2.0
  • vikstar2.0
@Hero @LynFran
anonymous
  • anonymous
@vikstar2.0
vikstar2.0
  • vikstar2.0
i think it is both
anonymous
  • anonymous
@Hero
vikstar2.0
  • vikstar2.0
but most likely the first one
anonymous
  • anonymous
i need the work though
anonymous
  • anonymous
Anybody who can help me????
anonymous
  • anonymous
@ayeshaafzal221
anonymous
  • anonymous
@SolomonZelman
vikstar2.0
  • vikstar2.0
how am i supposed to show the work?
anonymous
  • anonymous
any equation in the form of y=mx+b is linear
anonymous
  • anonymous
i thought it was supposed to be ax+by=c
anonymous
  • anonymous
anyways could u pls explain
anonymous
  • anonymous
@Hero
Hero
  • Hero
Try re writing both in linear form.
anonymous
  • anonymous
For the first one, I think it is 3x-4y=12, but I'm still not that sure how I got 12.
Hero
  • Hero
.Please show the work you did to get that.
anonymous
  • anonymous
I cross-multiplied: 3(x) and 4(y), which gave me 3x-4y. And then I guess I multiplied the 3 and 4 and got 12. So 3x-4y=12
anonymous
  • anonymous
@Hero
anonymous
  • anonymous
Where did @Hero go?
anonymous
  • anonymous
Aw man, he's offline. :(
anonymous
  • anonymous
@mathmate
anonymous
  • anonymous
@dan815
anonymous
  • anonymous
@pooja195
anonymous
  • anonymous
@emily_wilson
anonymous
  • anonymous
@SolomonZelman
pooja195
  • pooja195
Is there a way you can post the questions and options in one post?
anonymous
  • anonymous
I do not know. Do you want the options?
anonymous
  • anonymous
@pooja195
anonymous
  • anonymous
@Hero
anonymous
  • anonymous
@Kate_J2002
Hero
  • Hero
The approach you took is not "algebraic" and would be considered an incorrect approach.
anonymous
  • anonymous
Oh sorry could you please help me to do it the correct way?
Hero
  • Hero
You don't cross multiply The difference of two fractions.
anonymous
  • anonymous
Oh ok.
Hero
  • Hero
Multiply both sides of the equation by the LCD
anonymous
  • anonymous
You mean the Least Common Denominator?
Hero
  • Hero
Exactly.
anonymous
  • anonymous
Ok let me try. Don't leave, please.
anonymous
  • anonymous
But there are 2 fractions on one side of the equation, so how will I find the LCD?
anonymous
  • anonymous
I'm sorry for being so dumb.
anonymous
  • anonymous
Are you there @Hero ?
anonymous
  • anonymous
@pooja195
Hero
  • Hero
I'M here. The LCD is twelve. you should watch a tutorial on how to find the LCD of two fractions going forward though
anonymous
  • anonymous
Your talking about the first equation, right?
Hero
  • Hero
Correct.
anonymous
  • anonymous
Ok so I should multiply 12 with both the fractions and 1, right?
Hero
  • Hero
Correct
anonymous
  • anonymous
Ok.
Hero
  • Hero
Don't forget to cross cancel where possible.
anonymous
  • anonymous
So: 12x/4 - 12y/3 = 12 3x - 4y = 12
Hero
  • Hero
Correct
Hero
  • Hero
So you know the first equation is linear since it has the general linear form.
anonymous
  • anonymous
OK NOW I GET IT! Isn't 3x - 4y = 12 a linear equation in standard form, which is ax - by = c
Hero
  • Hero
Now try writing the second equation In the same form.
anonymous
  • anonymous
Ok just wait. Please don't leave.
anonymous
  • anonymous
So 10 is the LCD for the second equation, right?
Hero
  • Hero
Tell me what is in the denominators of the fractions of the Second equation?
anonymous
  • anonymous
x and y.
Hero
  • Hero
Explain how 10 Can be the LCD of x and y.
anonymous
  • anonymous
OH WAIT SO YOU CANNOT FIND THE LCD FOR THE SECOND EQUATION BECAUSE THEY'RE VARIABLES. So that means it is NOT A LINEAR EQUATION, right?
anonymous
  • anonymous
Or am I wrong?
Hero
  • Hero
Actually, there IS an LCD for denominators x and y.
anonymous
  • anonymous
Is it xy
Hero
  • Hero
You find it the same way you found the LCD of 3 and 4
Hero
  • Hero
Correct
anonymous
  • anonymous
Yay! But the second equation isn't a linear equation, right?
Hero
  • Hero
You have to SHOW that it isn't
anonymous
  • anonymous
I don't actually know how to do that.
anonymous
  • anonymous
Please help me out.
Hero
  • Hero
Try to write it in linear form. You already found the LCD. Remember what to do afterwards?
anonymous
  • anonymous
OH YEAH! Just give a minute. I'll solve it out. Just stay there.
anonymous
  • anonymous
So: 5xy/1x - 3xy/1y = 7xy
Hero
  • Hero
Cross cancel
anonymous
  • anonymous
What are those?
Hero
  • Hero
Factors of one that allow you to Simplify expressions.
anonymous
  • anonymous
Oh ok.
Hero
  • Hero
Cross cancel
anonymous
  • anonymous
So: 5xy - 3xy = 7xy
Hero
  • Hero
You have good intention but that is not the correct Simplification.
anonymous
  • anonymous
:(
anonymous
  • anonymous
How do I do that?
Hero
  • Hero
What does x/x =1 mean to you?
anonymous
  • anonymous
1/1=1
Hero
  • Hero
Well that would imply that x=1 but x is a variable
anonymous
  • anonymous
I'm confused.
Hero
  • Hero
Basically for any fraction, if you have a factor in the numerator and the same factor in the denominator of a fraction, then the factors cancel to just 1
Hero
  • Hero
The factors together Cancel to get 1 but a factor by itself does not equal one.
anonymous
  • anonymous
Oh ok but I don't know where this going.
Hero
  • Hero
For example, 7/7 =1 but 7 ≠1
anonymous
  • anonymous
Ok.
Hero
  • Hero
The way it's going is I can cancel any factor that occurs in both the numerator and denominator Without changing the value of the fraction.
Hero
  • Hero
So you should have ended up With:
Hero
  • Hero
5y-3x = 7xy
anonymous
  • anonymous
oh ok
anonymous
  • anonymous
Thank u very much @Hero ur the best.
Hero
  • Hero
Which can also be written as -3x + 5y = 7xy
anonymous
  • anonymous
so it is not a linear equation
Hero
  • Hero
But it is NOT Linear because 7xy is clearly not a constant,
Hero
  • Hero
So, yes, correct, not linear.
anonymous
  • anonymous
ok
anonymous
  • anonymous
Thank u very much @Hero
Hero
  • Hero
yw

Looking for something else?

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