SIMULTANEOUS EQUATIONS AND INVOLUTION

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1. Solve

Look up the method of solving when the unknowns are in the denominator. Should you clear of fractions?

2. Solve

3. Solve graphically and algebraically

4. Solve graphically and algebraically

Review:

5. The squares of the numbers from 1 to 25.

6. The cubes of the numbers from 1 to 12.

7. The fourth powers of the numbers from 1 to 5.

8. The fifth powers of the numbers from 1 to 3.

9. The binomial theorem laws. (See Involution.)

Expand: (Indicate first, then reduce.)

10.

11.

12.

13.

14. A train lost one sixth of its passengers at the first stop, 25 at the second stop, 20% of the remainder at the third stop, three quarters of the remainder at the fourth stop; 25 remain. What was the original number? (M. I. T.)

References: The chapter on Involution in any algebra. Also the references on the preceding page.


                                                                                                                                                                                                                                                                                                           

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