Question

Solving linear equations

Answer 1

1. P =
`(I)/(rt)`

2. y =
`(6 - 3x)/(11)` or
`(-3x +6)/(11)` (depending on how you want the equation arranged)

3. c =
`(a-bd)/(b)`

4 t =
`(A - p )/(pr)`

Explanation:

1. I =Prt for P:

I = Prt divide both sides by rt to isolate P

P =
`(I)/(rt)`

2. 3x + 11y = 6 for y

3x + 11y = 6 subtract 3x from both sides

11y = 6 - 3x divide both sides by 11

y =
`(6 - 3x)/(11)` or
`(-3x +6)/(11)` depending on how you want the equation arranged

3. a = b(c + d) for c

a = b(c + d) distribute b to (c+d)

a = bc + bd subtract bd from both sides

a - bd = bc divide both sides by b

c =
`(a-bd)/(b)`

4. A = p + prt for t

A = p + prt subtract p from both sides

A - p = prt divide both sides by pr

t =
`(A - p )/(pr)`