Problem 1:

Solve 3x-8y=19 for y
y=

Problem 2:
A=P=PRT for R
R=

Problem 1:

To solve the equation 3x - 8y = 19 for y, we want to isolate the variable y. Here's the step-by-step process:

1) Start with the given equation: 3x - 8y = 19
2) Subtract 3x from both sides of the equation to isolate the term with y: -8y = 19 - 3x
3) Divide both sides of the equation by -8 to solve for y: y = (19 - 3x) / (-8)

Therefore, the solution for y is y = (19 - 3x) / (-8).

Problem 2:
Given the equation A = P(1 + RT), we want to solve for R. Here's how we can do it:

1) Start with the given equation: A = P + PRT
2) Subtract P from both sides of the equation to isolate the term with RT: A - P = PRT
3) Divide both sides of the equation by PT to solve for R: (A - P) / PT = R

Therefore, the solution for R is R = (A - P) / PT.