Răspuns :
1. 17 + ( x + 3 ) = 3
x + 3 = 3 - 17
x + 3 = -14
x = -14 - 3
x = -17
Proba: 17 + ( -17 + 3 ) = 17 - 14 = 3
2. a x 2 + 47 = 257
2a = 257 - 47
2a = 210
a = 210 : 2
a = 105
Proba: 105 x 2 + 47 = 210 + 47 = 257
3. a + b = 77
a - b = 37 ⇒ a = 37 + b
37 + b + b = 77
2b = 77 - 37
2b = 40
b = 40 : 2
b = 20
a = 37 + 20 = 57
Proba: 57 + 20 = 77
57 - 20 = 37
4. a x 3 + 11 = a + 77
3a + 11 = a + 77
3a - a = 77 - 11
2a = 66
a = 66 : 2
a = 33
Proba: 33 x 3 + 11 = 99 + 11 = 110
33 + 77 = 110
5. ( a x 2 ) + ( a x 5 ) = 70
2a + 5a = 70
7a = 70
a = 70 : 7
a = 10
Proba: (10 x 2) + (10x5) = 20 + 50 = 70
6. a + b + c = 408
a
b = a + 1
c = a + 2
a + a + 1 + a + 2 = 408
3a = 408 - 1 - 2
3a = 405
a = 405 : 3
a = 135
b = 135 + 1 = 136
c = 135 + 2 = 137
Proba: 135 + 136 + 137 = 408
7. x + 3x < 16
4x < 16
x < 16 : 4
x < 4
x ∈ { 0, 1, 2, 3 }
8. ( x : 2 ) - 3 < 2
x : 2 < 2 + 3
x : 2 < 5
x < 5 x 2
x < 10
x ∈ { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
9. a + b + c + d = 800
a
b = a + 2
c = a + 4
d = a + 6
a + a + 2 + a + 4 + a + 6 = 800
4a = 800 - 2 - 4 - 6
4a = 788
a = 788 : 4
a = 197
b = 197 + 2 = 199
c = 197 + 4 = 201
d = 197 + 6 = 203
Proba: 197 + 199 + 201 + 203 = 800 ( sunt impare consecutive )
Sper ca te-am ajutat !
x + 3 = 3 - 17
x + 3 = -14
x = -14 - 3
x = -17
Proba: 17 + ( -17 + 3 ) = 17 - 14 = 3
2. a x 2 + 47 = 257
2a = 257 - 47
2a = 210
a = 210 : 2
a = 105
Proba: 105 x 2 + 47 = 210 + 47 = 257
3. a + b = 77
a - b = 37 ⇒ a = 37 + b
37 + b + b = 77
2b = 77 - 37
2b = 40
b = 40 : 2
b = 20
a = 37 + 20 = 57
Proba: 57 + 20 = 77
57 - 20 = 37
4. a x 3 + 11 = a + 77
3a + 11 = a + 77
3a - a = 77 - 11
2a = 66
a = 66 : 2
a = 33
Proba: 33 x 3 + 11 = 99 + 11 = 110
33 + 77 = 110
5. ( a x 2 ) + ( a x 5 ) = 70
2a + 5a = 70
7a = 70
a = 70 : 7
a = 10
Proba: (10 x 2) + (10x5) = 20 + 50 = 70
6. a + b + c = 408
a
b = a + 1
c = a + 2
a + a + 1 + a + 2 = 408
3a = 408 - 1 - 2
3a = 405
a = 405 : 3
a = 135
b = 135 + 1 = 136
c = 135 + 2 = 137
Proba: 135 + 136 + 137 = 408
7. x + 3x < 16
4x < 16
x < 16 : 4
x < 4
x ∈ { 0, 1, 2, 3 }
8. ( x : 2 ) - 3 < 2
x : 2 < 2 + 3
x : 2 < 5
x < 5 x 2
x < 10
x ∈ { 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 }
9. a + b + c + d = 800
a
b = a + 2
c = a + 4
d = a + 6
a + a + 2 + a + 4 + a + 6 = 800
4a = 800 - 2 - 4 - 6
4a = 788
a = 788 : 4
a = 197
b = 197 + 2 = 199
c = 197 + 4 = 201
d = 197 + 6 = 203
Proba: 197 + 199 + 201 + 203 = 800 ( sunt impare consecutive )
Sper ca te-am ajutat !