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Magic number of primary school mathematics
It is impossible for two ternary equations to have definite solutions. X is a man, y is a lion and z is a cicada.

x+y+z=360

2x+4y+6z= 13 12

x=64+z,y=296-2z

If you want to solve it, there are the following:

x=64 y=296 z=0

x=65 y=294 z= 1

x=66 y=292 z=2

x=67 y=290 z=3

x=68 y=288 z=4

x=69 y=286 z=5

x=70 y=284 z=6

x=7 1 y=282 z=7

x=72 y=280 z=8

x=73 y=278 z=9

x=74 y=276 z= 10

x=75 y=274 z= 1 1

x=76 y=272 z= 12

x=77 y=270 z= 13

x=78 y=268 z= 14

x=79 y=266 z= 15

x=80 y=264 z= 16

x=8 1 y=262 z= 17

x=82 y=260 z= 18

x=83 y=258 z= 19

x=84 y=256 z=20

x=85 y=254 z=2 1

x=86 y=252 z=22

x=87 y=250 z=23

x=88 y=248 z=24

x=89 y=246 z=25

x=90 y=244 z=26

x=9 1 y=242 z=27

x=92 y=240 z=28

x=93 y=238 z=29

x=94 y=236 z=30

x=95 y=234 z=3 1

x=96 y=232 z=32

x=97 y=230 z=33

x=98 y=228 z=34

x=99 y=226 z=35

x= 100 y=224 z=36

x= 10 1 y=222 z=37

x= 102 y=220 z=38

x= 103 y=2 18 z=39

x= 104 y=2 16 z=40

x = 105y = 2 14 z = 4 1

x= 106 y=2 12 z=42

x= 107 y=2 10 z=43

x= 108 y=208 z=44

x= 109 y=206 z=45

x= 1 10 y=204 z=46

x = 1 1 1y = 202 z = 47

x= 1 12 y=200 z=48

x = 1 13y = 198 z = 49

x = 1 14y = 196 z = 50

x = 1 15y = 194 z = 5 1

x = 1 16y = 192 z = 52

x = 1 17y = 190 z = 53

x = 1 18y = 188 z = 54

x = 1 19y = 186 z = 55

x= 120 y= 184 z=56

x = 12 1y = 182 z = 57

x= 122 y= 180 z=58

x= 123 y= 178 z=59

x= 124 y= 176 z=60

x = 125y = 174 z = 6 1

x= 126 y= 172 z=62

x= 127 y= 170 z=63

x= 128 y= 168 z=64

x= 129 y= 166 z=65

x= 130 y= 164 z=66

x = 13 1y = 162 z = 67

x= 132 y= 160 z=68

x= 133 y= 158 z=69

x= 134 y= 156 z=70

x = 135y = 154 z = 7 1

x= 136 y= 152 z=72

x= 137 y= 150 z=73

x= 138 y= 148 z=74

x= 139 y= 146 z=75

x= 140 y= 144 z=76

x = 14 1y = 142 z = 77

x= 142 y= 140 z=78

x= 143 y= 138 z=79

x= 144 y= 136 z=80

x = 145y = 134 z = 8 1

x= 146 y= 132 z=82

x= 147 y= 130 z=83

x= 148 y= 128 z=84

x= 149 y= 126 z=85

x= 150 y= 124 z=86

x = 15 1y = 122 z = 87

x= 152 y= 120 z=88

x = 153y = 1 18 z = 89

x = 154y = 1 16 z = 90

x = 155y = 1 14 z = 9 1

x = 156y = 1 12 z = 92

x = 157y = 1 10 z = 93

x= 158 y= 108 z=94

x= 159 y= 106 z=95

x= 160 y= 104 z=96

x = 16 1y = 102 z = 97

x= 162 y= 100 z=98

x= 163 y=98 z=99

x= 164 y=96 z= 100

x = 165y = 94 z = 10 1

x= 166 y=92 z= 102

x= 167 y=90 z= 103

x= 168 y=88 z= 104

x= 169 y=86 z= 105

x= 170 y=84 z= 106

x = 17 1y = 82 z = 107

x= 172 y=80 z= 108

x= 173 y=78 z= 109

x = 174y = 76 z = 1 10

x = 175y = 74 z = 1 1 1

x = 176y = 72 z = 1 12

x = 177y = 70 z = 1 13

x = 178y = 68 z = 1 14

x = 179y = 66 z = 1 15

x = 180y = 64 z = 1 16

x = 18 1y = 62z = 1 17

x = 182y = 60 z = 1 18

x = 183y = 58 z = 1 19

x= 184 y=56 z= 120

x = 185y = 54 z = 12 1

x= 186 y=52 z= 122

x= 187 y=50 z= 123

x= 188 y=48 z= 124

x= 189 y=46 z= 125

x= 190 y=44 z= 126

x = 19 1y = 42 z = 127

x= 192 y=40 z= 128

x= 193 y=38 z= 129

x= 194 y=36 z= 130

x = 195y = 34 z = 13 1

x= 196 y=32 z= 132

x= 197 y=30 z= 133

x= 198 y=28 z= 134

x= 199 y=26 z= 135

x=200 y=24 z= 136

x=20 1 y=22 z= 137

x=202 y=20 z= 138

x=203 y= 18 z= 139

x=204 y= 16 z= 140

x = 205y = 14 z = 14 1

x=206 y= 12 z= 142

x=207 y= 10 z= 143

x=208 y=8 z= 144

x=209 y=6 z= 145

x=2 10 y=4 z= 146

x = 2 1 1y = 2z = 147

x=2 12 y=0 z= 148