1. LESSON 40: ABSTRACT FRACTIONAL EQUATIONS

2. We have noted that the easiest way to solve fractional equations is to eliminate the denominators as the first step.

3. Thus, to solve the following equation we begin by multiplying every numerator by 15. 4 + x + 7 = 4 5 3 We get x = 13/3

4. We also eliminate the denominators as the first step in the solution of abstract equations, as we will demonstrate in the following examples. (in the solution of abstract equations, we will assume that no variable or combination of variables in any denominator equals zero.)

5. Example: Solve for x: a + m = c x a

6. Answer: x = a ca – m 2

7. Example: Solve for m: x + c = y m a

8. Answer: m = ax y – ac

9. Example: Solve for p 6 - ax = m + k p y

10. Answer: p = 6y m + yk + yax

11. HW: Lesson 40 #1-30