Question

its called inverse and isolation i think So basically solving for the variable.
Here'sthe definition if it helps
Inverse operations are pairs of mathematical manipulations in which one operation undoes the action of the other—for example, addition and subtraction, multiplication and division. The inverse of a number usually means its reciprocal, i.e. x - 1 = 1 / x . The product of a number and its inverse (reciprocal) equals 1.

Answer 1

Answer:

  p = 5/8

Step-by-step explanation:

We use the inverse of the addition of the constant to isolate the variable p. We do this using the subtraction property of equality: subtracting the same number from both sides of the equation leaves the value of the variable unchanged.

  7/8 = 1/4 + p . . . . . given

  7/8 -1/4 = 1/4 -1/4 +p . . . . subtract 1/4 from both sides

  5/8 = p . . . . . . . . simplify

  p = 5/8