Linear equation help

[supremacy32]

Hello all, just working on a linear equation and find myself unsure of where to start on some problems. It's been a few years since highschool for me and could use some help.

equation: (528-12x)/3 = (28x+176)/4 +33

Not sure how to start on this one. Any help would be appreciated.

 

[stapel]

\(\displaystyle \dfrac{528\,-\,12x}{3}\, = \, \dfrac{28x\,+\,176}{4}\, +\,33\)

Not sure how to start on this one.

A good place to start (with solving, which I'm assuming is what you're needing to do) is to multiply through to clear the fractions. Since the lowest common denominator would be 12, multiply through by this to get:

. . . . .\(\displaystyle 4(528\, -\, 12x)\, =\, 3(28x\, +\, 176)\, +\, 12(33)\)

Multiply things out (here), and then solve in the usual manner.

 

[supremacy32]

A good place to start (with solving, which I'm assuming is what you're needing to do) is to multiply through to clear the fractions. Since the lowest common denominator would be 12, multiply through by this to get:

. . . . .\(\displaystyle 4(528\, -\, 12x)\, =\, 3(28x\, +\, 176)\, +\, 12(33)\)

Multiply things out (here), and then solve in the usual manner.

Thanks. Using what you provided I was able to determine the solution was 9. However, I'm not very clear on how you went from the original equation to what you provided in your post. Would it be possible to see the steps you performed to get it there to allow me to examine it?

 

[supremacy32]

A good place to start (with solving, which I'm assuming is what you're needing to do) is to multiply through to clear the fractions. Since the lowest common denominator would be 12, multiply through by this to get:

. . . . .\(\displaystyle 4(528\, -\, 12x)\, =\, 3(28x\, +\, 176)\, +\, 12(33)\)

Multiply things out (here), and then solve in the usual manner.

Thanks for the speedy response, I was able to solve the equation from what you gave me, but wasn't too clear on exactly what you did to get it there. Could you possibly show what steps you took to get it to the equation you provided in your post? This would help me greatly for other similar problems.

 

[Ishuda]

Hello all, just working on a linear equation and find myself unsure of where to start on some problems. It's been a few years since highschool for me and could use some help.

equation: (528-12x)/3 = (28x+176)/4 +33

Not sure how to start on this one. Any help would be appreciated.

Although normally one would want to clear the fractions, as stapel mentioned, and multiply through, in this particular case
528/3=176
12/3=4
28/4=7
176/4=44
so the equation becomes
176 - 4 x = 7 x + 44 + 33
and you continue from there.

 

[Deleted member 4993]

Thanks. Using what you provided I was able to determine the solution was 9. However, I'm not very clear on how you went from the original equation to what you provided in your post. Would it be possible to see the steps you performed to get it there to allow me to examine it?

Do you know the steps to calculate:

\(\displaystyle \frac{1}{3} - \frac{1}{4}\) without using calculator?

Exact same reasoning (steps) here!

 

[stapel]

I...wasn't too clear on exactly what you did to get it there.

I did like I'd said; I'd multiplied through by the common denominator of 12. What did you get for the common denominator? What did you get when you multiplied through by this value?

Once we can see where you're getting stuck in the process, we'll be better able to clarify things. Please be complete. Thank you!