How do you solve P= \frac { b } { d + t } for t?

2 Answers
Jan 28, 2017

t = \frac {b} {p} - d

Explanation:

  1. Cross multiply P and d+t to get:
    d+t = \frac {b} {P}

  2. To make t the subject, substract d (move d to the other
    side!) :
    t = \frac {b} {P} - d

Jan 28, 2017

t=b/P-d

Explanation:

We can color(blue)"cross multiply" to 'eliminate' the fraction.

We treat equations with letters only color(blue)"literal equations" in exactly the same way as normal equations.

rArrP/1=b/(d+t)

rArrP(d+t)=b

divide both sides by P

(cancel(P) (d+t))/cancel(P)=b/P

rArrd+t=b/P

To solve for t, subtract d from both sides.

cancel(d)cancel(-d)+t=b/P-d

rArrt=b/P-d" is the solution"