Solving Algebra Equation: 3y + (y*Pie)/2 = 62

[Stilts]

Hi, I've got this equation I need to figure out for my design project. It's been a few years since I did algebra and I just can't remember the next steps.

I've simplified to:

3y + (y*Pie)/2 = 62

but I can't figure out how to move everything around to get y.

Thanks to anyone who can help me.

 

[siddharth]

Stilts,
if ay+by=c, where a,b,c are constants, can you figure out how to solve for y? It's not that hard.
Try taking 'y' common

 

[TD]

So you've got $3y + \frac{\pi }{2}y = 62$. Now factor out y in the lhs and divide both sides by its coefficient you get.

 

[Stilts]

How do you get the symbol graphics TD?

So:

3y + (y*Pie)/2 = 62
3y + (Pie/2)y = 62
3 + Pie/2 = 62/y
62 / (Pie/2 + 3) = y
13.56 = y


My whole equation originally was:
3y + x = 62, with x = (y*Pie)/2
Making:
(y*Pie)/2 = x
(13.56*Pie)/2 = x
42.61 = x

However I've definitely done something wrong:

3y + x = 62
3(13.56) + 42.61 ≠ 62

Thanks for the help so far.

 

[TD]

How do you get the symbol graphics TD?

It's LaTeX, click on it to see the code and check the first forum for information.

3y + (y*Pie)/2 = 62
3y + (Pie/2)y = 62
3 + Pie/2 = 62/y
62 / (Pie/2 + 3) = y
13.56 = y

This is correct, but I'd leave an exact answer, 13.56 is an approximation.

$$y = \frac{{124}}{{\pi + 6}} \approx 13.56$$

Making:
(y*Pie)/2 = x
(13.56*Pie)/2 = x
42.61 = x

It isn't 42.61, recheck that calculation.

 

[Stilts]

Yeah I wasn't using the approximations for calculating, just shortening for the forum.

It isn't 42.61, recheck that calculation.

Argh I had the right answer written down then lost it. x = 21.31.

Thanks heaps for the help dude, now it's time to get building.

 

[TD]

You're welcome, good luck