Steps to Transpose an Equation

Hello,

I’m brand to this site and I’m hoping that someone can show me the individual steps that allows the following equation:

t = P*R/S*E-0.6*P

Transpose to make P the subject per the following equation:

P = S*E*t/R+0.6t

Many Thanks,

Rich.

I've managed to figure this out by looking at similar posts (Sorry... I did say I was new!)

Anyway, here are the steps to transpose t = P*R/S*E-0.6*P making P the subject:

Attachment 25356

1. Multiply by (SE-0.6P)

Attachment 25357

2. Expand t(SE-0.6P)

Attachment 25358

3. Add +0.6Pt

Attachment 25359

4. Factorise PR+0.6Pt

Attachment 25360

5. Divide by R+0.6t

Attachment 25361

6. Rearrange P to L.H.S

Attachment 25362

If I've got this wrong, could someone let me know?

Quote:

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Originally Posted by wardr1

Anyway, here are the steps to transpose t = P*R/S*E-0.6*P making P the subject:

Attachment 25356

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If that the case (denominator as you show) then
your equation requires brackets: t = P*R / (S*E-0.6*P) ; understand?
Crossmultiply:
PR = tSE - .6tP
Add .6tP to each side:
PR + .6tP = tSE
Factor left side:
P(R + .6t) = tSE
Divide each side by R + .6t:
P = tSE / (R + .6t) : notice brackets to CLARIFY denominator!
That's it.

Usually with these, you'd be expected to change .6 to 3/5, thus 3t / 5; so:
P = tSE / (R + 3t/5)
P = tSE / [(5R + 3t) / 5]
P = 5tSE / (5R + 3t)
Capish?

Got it,

Thanks for (Clarifying) that for me!