§ 1. Системы двух уравнений

35

≥ 0 удовлетворяет = 4. + = 2 = 16.

+ = 16,

+ = 16,

2

+ 2

= 136;

( + )2

−

2 = 136;

+ = 16,

1. = 6,

2.

= 10,

= 60.

= 10.

= 6.

Ответ:

и

.

(6; 10)

(10; 6)

1.

+ = −7,

2.

+ = 3,

3.

+ = 8,

= 10.

= 2.

= 12.

4.

+ = −3,

5.

+ = 3,

6.

+ = 1,

= 2.

= 4.

=

−

2.

7.

+ = −1,

8.

+ = −5,

9.

+ = 4,

=

−

12.

=

−

14.

=

−

21.

36

Теория, примеры и задачи

10.

+ = −4,

11. + = 9,

12. + = −4,

=

12.

= 18.

= 45.

−

−

+ = 5,

14. + = √

+ 1,

+ = −2,

13.

3

15.

= 3.

= √

.

= 2.

3

−

+ = 3,

+ = √

+ √

,

2

3

16.

17.

√

= −1.

= 6.

+ = 4,

18.

+ = 2,

19.

+ = 2,

20.

= 1.

= 5.

= 3.

2

−

2

21.

+

2

= 5,

22.

+

2

= 25,

23.

2

+

2

= 13,

= 2.

+ = 7.

=

−

7.

2

−

2

24.

+

2

= 34,

25.

+

2

= 101,

26.

2

+

2

= 8,

= 15.

+ = 11.

= 4.

2

2

−

27.

+

2

= 5,

28.

+

2

= 13,

29.

2

+

2

= 74,

+ = 3.

+ = 5.

=

5.

2

2

−

30. − 2( + ) = 2,

31.

− +

= 19,

+ + = 29.

=

−

7.

§ 1. Системы двух уравнений

37

32.

2

+ 4 + 2 = 94,

33.

2 − 6 + 2 = 8,

= 15.

= 7.

2

2

2

2

34.

+ 3 +

= 79,

35.

2

− + 2

= 19,

= 15.

+ +

= 49.

36.

2+ = 7,

2

= 19.

37.

2+ = 8,

2

= 52.

+

+ +

−

2

2

38.

= 15,

2

+

2

= 42.

39.

2

+ +

2

= 13,

+ +

−

+ = 7.

40.

+ + = 5,

41.

+ 2 + = 10,

+

−

= 1.

−

2 + =

−

2.

42.

2+

2

43.

2+

− 7 =20

= 2,

,

+

−

=

−

7.

+ + = 43.

44.

+

+ 4

= 6

,

45.

2

− 32 − 3 = −8,

( + ) = 2.

+

−

5

−

5 = 12.

−

46.

2

− 72 − 7 = −9,

47.

2

− 32

− 3

= −5

,

+

+ 11( + ) = 16.

+

−

5

−

5 = 0.

38

Теория, примеры и задачи

48.

2

2

+

2

+ 2

2

−

−

= 3

49.

2+

= 2

2

2

,

,

+

5 + 3 + 3 = 3.

+ = 1.

50.

2

+

2

−

51.

2

−

2

2

4

3

3

= 7 +

,

4

+

2

+ = 7,

+ = 6

1.

+ + = 21.

3

3

= 133,−

3

3 = 28,

52.

+

53.

2

+

2

= 12.

+ = 7.

+

2

+ 2 = 7,

2

+ 2 = 3,

54.

4

−

2

2

+

4

= 91.

55.

4

−

2

2

+

4

= 21.

+

+

56.

2

−

2

2

2

4

4

2

2

4

57.

4

+ = 21,

= 3,

+

+

= 609.

+

+

+

= 92.

2

2 +2

2

2

2

58.

+

= 3,

59.

4

+ 4

= 5,

( + ) = 2.

+

= 17.

2

2

3

3

60.

3

+ 3

= 13,

61.

+

− + 2 + 2 = 5,

+

= 19.

+ + = 3.

1 1

1

1

1

1

1 1

2

+

=

,

+

=

,

+

=

,

62.

2

63.

2

64.

3

+ = 9.

= 2.

+ = 8.

−

§ 1. Системы двух уравнений

39

1

1

1

1

5

1

1

5

+

= 5,

66.

+

=

,

67.

+

=

,

4

65.

6

1

+

1

= 13.

=

3

.

+ = 5.

2

2

8

68.

=

13

,

69.

5

,

1

+

1

= 1,

+

6

+ = 4

70.

1

1

+

= 5

.

( + ) = 20.

= 1.

1

1

1

71.

+

= 1,

72.

+

=

7,

73.

+ = 3,

1

1

1

1

8

+

= 4.

+

= 8.

2 + 2 = 160.

1

1

3

1

1

1

2

2

74.

2

75.

+

= −

2

76.

+

=29

+

=

,

,