Intermediate alegbraic equation help needed

hp2992

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Joined
Feb 17, 2019
Messages
3
Hi Guys,

I trust you're all well.

I have labelled this as an intermediate equation although to some, this may seem elementary (please forgive my ignorance).

Looking to solve for Y;

Y = 4500/P + 625 + 87.5[(5821.43 - Y)/28.57]

I'm given the solution of;

Y = 1107.69/P + 4542.31

Have spent a good hour or so trying to deduce the steps in between (it's part of example in a textbook with no indication as to how the solution is derived). I want to ensure I understand the steps before moving on.

Are there any kind mathematicians who can assist?

Your time and assistance will be much appreciated,

Thanks,

H.
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
18,572
Hi Guys,

I trust you're all well.

I have labelled this as an intermediate equation although to some, this may seem elementary (please forgive my ignorance).

Looking to solve for Y;

Y = 4500/P + 625 + 87.5[(5821.43 - Y)/28.57]

I'm given the solution of;

Y = 1107.69/P + 4542.31

Have spent a good hour or so trying to deduce the steps in between (it's part of example in a textbook with no indication as to how the solution is derived). I want to ensure I understand the steps before moving on.

Are there any kind mathematicians who can assist?

Your time and assistance will be much appreciated,

Thanks,

H.
Did the textbook "just" give you an answer - for an example problem?

Can you please post the steps given to you in the textbook for this problem?

Also please indicate exactly where you get lost in their solution.
 

hp2992

New member
Joined
Feb 17, 2019
Messages
3
Hi Subohotosh,

Pretty much... See question 2 in the pic (IS curve equation given in solution... calculated in a previous example):

13229

Got lost between inserting "r" and solving for "Y"... The last 4 lines.

Thanks,

H
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
18,572
Hi Subohotosh,

Pretty much... See question 2 in the pic (IS curve equation given in solution... calculated in a previous example):

View attachment 13229

Got lost between inserting "r" and solving for "Y"... The last 4 lines.

Thanks,

H
What do you get:

87.5/28.57 = ??? ..................................(A)

(87.5/28.57) * 5821.43 = ??? ..................................(B)
 

Harry_the_cat

Senior Member
Joined
Mar 16, 2016
Messages
1,431
Firstly, expand to get rid of the brackets. This will give 2 terms after the 625 (one involves Y, the other doesn't).

Secondly, collect the Ys on the LHS of the equation and add the constants on the RHS.

Thirdly, divide both sides by co-efficient of Y.
 

hp2992

New member
Joined
Feb 17, 2019
Messages
3
13230

Thanks dude. Was making an elementary mistake with rearranging the equation. The decimals are out... But that's due to my rounding.
 
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