Resolved: "To calculate: Thesolution of the equation aP−4=Pt+2 for..."

Jason Watson

Answered question

2021-11-13

To calculate: Thesolution of the equation

a P - 4 = P t + 2

for P.

Linda Tincher

Beginner2021-11-14Added 14 answers

Calculation:
Consider the provided equation,

a P - 4 = P t 42

.
Now, add

- a P + 4

both sides of the above equation.

a P — 4 — a P + 4 = P t + 2 - a P + 4

0 = P (t - a) + 6

P = \frac{- 6}{t - a}

Check:
Substitute the value

P = \frac{- 6}{1 - a}

the equation

a P — 4 = P t + 2

a (\frac{- 6}{t - a}) - 4 (\frac{- 6}{1 - a}) t + 2

\frac{- 6 a}{t - a} - 4 \frac{- 6 t}{1 - a} + 2

\frac{- 6 a}{t - a} + \frac{- 6 t}{t - a} 4 + 2

\frac{- 6 a + 6 t}{t - a} 6

Further simplify the above equation,

\frac{- 6 a + 6 t}{t - a} 6

\frac{6 (- a + 1)}{t - a} 6

\frac{6 (t - a)}{t - a} 6

which is true.
Hence, the solution of the equation

a P - 4 = P t + 2

for P is

P = \frac{- 6}{t - a}

Do you have a similar question?

Recalculate according to your conditions!

Didn't find what you were looking for?