15. x 9, y=3; or x=-9, y=-3.

=

16. x == 49, y = 25.

17. x=625, y = 16.

18. x=5, y=4; or x=-5, y=—4.

19. x=7, y=3; or x=-3, y=—7.

20. x=1,y=2; x = −1, y = 2; x=2, y = 1; or x=2, y = −1.

21. x=2, y=4; x=4, y=2; x=3+√/21,y=3—√/21; or x=3—√/21, y=3+√21.

22. x=1, y = 2; or x = 2, y = 1. 23. x=4, y = 9; or x=9, y = 4.

24. x 8, y=2; or x = 2, y = 8. 25th and 26th performed.

27. x = 20, y = 16.

28. x=5, y = 3.

29. x 8, y=6; x=-8, y=-6; x=6, y=8; or

x=

x=6, y=-8.

30. x = 14, y = 12.

31. x=27, y = 1484; or x = 6, y = 33.

32. x= : 5,y=±3.

33. Performed.

34. x=3, y = 1; x =—3, y = −1; x=8√k, y=√ễ; or x=-8√//ễ, y=—√ễ.

¥,

35. x 4, y=3; x=-4, y=-3; x=Y, y=3; or x=-4,y=-3.

36. x=1, y=2; x=-1,y=-2; x = }, y=—Y; or x = — }, y = Y.

37. x=4,y=2; x=—4, y=—2; x=−√/T,y=VT; or x =√7,y=-√7.

5

1. Ī·8593785, or 9.8593785. 3. 4·5789370, or 6·5789370. 2. 3·7604225, or 7·7604225. 4. Ī·8239087, or 9-8239087.

5. I-2179083, or 9-2179083. 8. 2·6596926.

51. Progression 7, 8-6394, 10-662, 13-16, 16-242, 20.

11. 14-137 years, or 14 years, 1 month, 29 days. 12. 0·06085, or 6 per cent. nearly.

13. 11.8956 years, or 11 years, 10 months, 22 days. 14. 18.854 years, or 18 years, 10 months, 7 days. 15. 14.2067 years, or 14 years, 2 months, 14 days. 16. $644-781.

17. 83310.

18. 0.03205.

19. 26.91 years, or 26 years, 10 months, 28 days. ART. 172.

1. Performed.

2. $3558-094.

ART. 173.

SECTION LX.

1st 2d and 3d performed.

4. $7686-22.

5. $7857.98.

6. $1169.84.

7. 19-387 years, or 19 years, 4 months, 19 days.

MISCELLANEOUS QUESTIONS.

1: A $948, B $1896, C $2844, D $4740.

2. 3 yards at 9s.; 5 yards at 7s.