1 It is known that the solution of the equations ax+by=3 bx+ay=7 about x and y is x=2 y= 1. Find the value of a+b

Solution: Substitute X=2, Y= 1 into aX+bY=3, bX+aY=7 to get 2a+b=3, a+2b=7 to get A =- 1/3, and b =1/3.

x ∕2-y ∕3= 1 2(x+y)-3x = 12

1) 66x+ 17y=3967

25x+y= 1200

Answer: x=48 y=47.

(2) 18x+23y=2303

74x-y= 1998

Answer: x=27 y=79

(3) 44x+90y=7796

44x+y=3476

Answer: x=79 y=48

⑷76x-66y = 4082

30x-y=2940

Answer: x=98 y=5 1.

(5) 67x+54y=8546

7 1x-y=5680

Answer: x=80 y=59

(6) 42x-95y=- 14 10

2 1x-y= 1575

Answer: x=75 y=48

(7) 47x-40y=853

34x-y=2006

Answer: x=59 y=48

(8) 19x-32y=- 1786

75x+y=4950

Answer: x=66 y=95

(9) 97x+24y=7202

58x-y=2900

Answer: x=50 y=98

( 10) 42x+85y=6362

63x-y= 1638

Answer: x=26 y=62

( 1 1)85x-92y =-25 18

27x-y=486

Answer: x= 18 y=44.

( 12) 79x+40y=24 19

56x-y= 1 176

Answer: x=2 1 y= 19.

( 13) 80x-87y=2 156

22x-y=880

Answer: x=40 y= 12.

( 14) 32x+62y=5 134

57x+y=2850

Answer: x=50 y=57

( 15) 83x-49y=82

59x+y=2 183

Answer: x=37 y=6 1.

( 16) 9 1x+70y=5845

95x-y=4275

Answer: x=45 y=25.

( 17) 29x+44y=528 1

88x-y=3608

Answer: x=4 1 y=93.

( 18) 25x-95y=-4355

40x-y=2000

Answer: x=50 y=59

( 19) 54x+68y=3284

78x+y= 1404

Answer: x= 18 y=34.

(20) 70x+ 13y=3520

52x+y=2 132

Answer: x=4 1 y=50.

(2 1) 48x-54y=-3 186

24x+y= 1080

Answer: x=45 y=99

(22) 36x+77y=76 19

47x-y=799

Answer: x= 17 y=9 1.

(23) 13x-42y=-27 17

3 1x-y= 1333

Answer: x=43 y=78

(24) 28x+28y=3332

52x-y=4628

Answer: x=89 y=30

(25) 62x-98y=-2564

46x-y=2024

Answer: x=44 y=54.

(26) 79x-76y=-4388

26x-y=832

Answer: x=32 y=9 1.

(27) 63x-40y=-82 1

42x-y=546

Answer: x= 13 y=4 1.

(28) 69x-96y=- 1209

42x+y=3822

Answer: x=9 1 y=78.

(29) 85x+67y=7338

1 1x+y=308

Answer: x=28 y=74

(30) 78x+74y= 12928

14x+y= 12 18

Answer: x=87 y=83.

(3 1) 39x+42y=533 1

59x-y=584 1

Answer: x=99 y=35

(32)29x+ 18y = 19 16

58x+y=2320

Answer: x=40 y=42

(33) 40x+3 1y=6043

45x-y=3555

Answer: x=79 y=93

(34) 47x+50y=8598

45x+y=3780

Answer: x=84 y=93

(35) 45x-30y=- 1455

29x-y=725

Answer: x=25 y=86

(36) 1 1x-43y =- 136 1

47x+y=799

Answer: x= 17 y=36.

(37) 33x+59y=3254

94x+y= 1034

Answer: x= 1 1 y=49.

(38) 89x-74y=-2735

68x+y= 1020

Answer: x= 15 y=55.

(39) 94x+7 1y=75 17

78x+y=3822

Answer: x=49 y=4 1.

(40) 28x-62y=-4934

46x+y=552

Answer: x= 12 y=85.

(4 1) 75x+43y=8472

17x-y= 1394

Answer: x=82 y=54.

4 1x-38y =- 1 180

29x+y= 1450

Answer: x=50 y=85

(43) 22x-59y=824

63x+y=4725

Answer: x=75 y= 14.

(44) 95x-56y=-40 1

90x+y= 1530

Answer: x= 17 y=36.

(45) 93x-52y=-852

29x+y=464

Answer: x= 16 y=45.

(46) 93x+ 12y=8823

54x+y=49 14

Answer: x=9 1 y=30.

(47) 2 1x-63y=84

20x+y= 1880

Answer: x=94 y=30

(48) 48x+93y=9756

38x-y=950

Answer: x=25 y=92

(49) 99x-67y=40 1 1

75x-y=5475

Answer: x=73 y=48

(50) 83x+64y=929 1

90x-y=3690

Answer: x=4 1 y=92.

(5 1) 17x+62y = 32 16

75x-y=7350

Answer: x=98 y=25.

(52) 77x+67y=2739

14x-y=364

Answer: x=26 y= 1 1.

(53) 20x-68y=-4596

14x-y=924

Answer: x=66 y=87

(54) 23x+87y=4 1 10

83x-y=5727

Answer: x=69 y=29.

(55) 22x-38y=804

86x+y=6708

Answer: x=78 y=24.

(56) 20x-45y=-3520

56x+y=728

Answer: x= 13 y=84.

(57) 46x+37y=7085

6 1x-y=4636

Answer: x=76 y=97.

(58) 17x+6 1y=4088

7 1x+y=5609

Answer: x=79 y=45

(59)5 1x-6 1y =- 1907

89x-y=23 14

Answer: x=26 y=53

69x-98y=-2404

2 1x+y= 1386

Answer: x=66 y=7 1.

(6 1) 15x-4 1y = 754

74x-y=6956

Answer: x=94 y= 16.

(62) 78x-55y=656

89x+y=55 18

Answer: x=62 y=76

(63) 29x+2 1y= 1633

3 1x-y=7 13

Answer: x=23 y=46

(64) 58x-28y=2724

35x+y=3080

Answer: x=88 y=85.

(65) 28x-63y=-2254

88x-y=2024

Answer: x=23 y=46

(66) 43x+50y=7064

85x+y=8330

Answer: x=98 y=57.

(67) 58x-77y= 1 170

38x-y=2280

Answer: x=60 y=30.

(68) 92x+83y= 1 1586

43x+y=30 10

Answer: x=70 y=62

(69) 99x+82y=6055

52x-y= 17 16

Answer: x=33 y=34

(70) 15x+26y= 1729

94x+y=8554

Answer: x=9 1 y= 14.

(7 1) 64x+32y=3552

56x-y=2296

Answer: x=4 1 y=29.

(72) 94x+66y= 10524

84x-y=78 12

Answer: x=93 y=27

(73) 65x-79y=-58 15

89x+y=23 14

Answer: x=26 y=95

(74) 96x+54y=62 16

63x-y= 1953

Answer: x=3 1 y=60.

(75) 60x-44y=-352

33x-y= 1452

Answer: x=44 y=68

(76) 79x-45y=5 10

14x-y=840

Answer: x=60 y=94

(77) 29x-35y=-2 18

59x-y=4897

Answer: x=83 y=75

(78) 33x-24y= 1905

30x+y=2670

Answer: x=89 y=43

(79)6 1x+94y = 1 1800

93x+y=5952

Answer: x=64 y=84.

(80) 6 1x+90y=500 1

48x+y=2448

Answer: x=5 1 y=2 1.

(8 1) 93x- 19y=2

86x-y= 1548

Answer: x= 18 y=88.

(82) 19x-96y=-59 10

30x-y=2340

Answer: x=78 y=77.

(83) 80x+74y=8088

96x-y=8640

Answer: x=90 y= 12.

(84) 53x-94y= 1946

45x+y=26 10

Answer: x=58 y= 12.

(85)93x+ 12y = 9 1 17

28x-y=2492

Answer: x=89 y=70

(86) 66x-7 1y=- 1673

99x-y=782 1

Answer: x=79 y=97

(87) 43x-52y=- 1742

76x+y= 1976

Answer: x=26 y=55

(88) 70x+35y=8295

40x+y=2920

Answer: x=73 y=9 1.

(89) 43x+82y=4757

1 1x+y=23 1

Answer: x=2 1 y=47.

(90) 12x- 19y=236

95x-y=7885

Answer: x=83 y=40

(9 1)5 1x+99y = 803 1

7 1x-y=29 1 1

Answer: x=4 1 y=60.

(92) 37x+74y=4403

69x-y=6003

Answer: x=87 y= 16.

(93) 46x+34y=4820

7 1x-y=5 183

Answer: x=73 y=43

(94) 47x+98y=586 1

55x-y=4565

Answer: x=83 y=20

(95) 30x- 17y=239

28x+y= 1064

Answer: x=38 y=53

(96)55x- 12y = 4 1 12

79x-y=7268

Answer: x=92 y=79

(97) 27x-24y=-450

67x-y=3886

Answer: x=58 y=84.

(98) 97x+23y=8 1 19

14x+y=966

Answer: x=69 y=62

(99) 84x+53y= 1 1275

70x+y=6790

Answer: x=97 y=59.

( 100) 5 1x-97y=297

19x-y= 1520

Answer: x=80 y=39