resolva cada problema: ajudem!!
Soluções para a tarefa
a)
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x = 3y
x = y + 14
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3y = y + 14
2y = 14
y = 7
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b) x = Jane, y = Silvia
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x + y = 36
x + 3 = ( y + 3 ).5
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y = 36 - x
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x + 3 = ( 36 - x + 3 ).5
x + 3 = ( 39 - x ).5
x + 3 = 195 - 5x
6x = 192
x = 192/6
x = 32
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c)
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x + y = 8
x - y = 2
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x = 8 - y
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8 - y - y = 2
- 2y = -6
y = -6/-2
y = 3
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x = 8 - 3
x = 5
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53
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d)
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3.x + 4.y = 88
2.x = y + 22
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y = 2x - 22
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3x + 4.( 2x - 22 ) = 88
3x + 8x - 88 = 88
11x = 176
x = 176/11
x = 16
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y = 2.16 - 22
y = 32 - 22
y = 10
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e) x = Carro, y = Moto
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x + y = 15
4x + 2y = 50
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x = 15 - y
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4.(15 - y) + 2y = 50
60 - 4y + 2y = 50
-2y = -10
y = 5
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x = 15 - 5
x = 10
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f) x = Jonas, y = Raquel
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x - 4 = (y - 4).5
x + 17 = (y + 17).2
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x = 5y - 20 + 4
x = 5y - 16
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5y - 16 + 17 = 2y + 34
3y = 33
y = 11
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x = 5.11 - 16
x = 55 - 16
x = 39
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g) x = Menor número, y = Maior número
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x + y = 58
4x - y/5 = 43
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x = 58 -y
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4.(58 - y) - y/5 = 43
232 - 4y -y/5 = 43
-20y-y/5 = -189
-21y = -189.5
y = -945/-21
y = 45
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x = 58 - 45
x = 13
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h) x = Coelho, y = Galinha
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x + y = 28
4x + 2y = 86
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x = 28 - y
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4.(28 - y) + 2y = 86
112 - 4y + 2y = 86
-2y = -36
y = 18
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x = 28-18
x = 10
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i) x = Base, y = Altura
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2x + 2y = 34
x = 2y + 2
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2.(2y + 2) + 2y = 34
4y + 4 + 2y = 34
6y = 30
y = 5
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x = 2.5 + 2
x = 10 + 2
x = 12
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j) x = Márcio, y = Bete
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(x - 3).3 = (y-3).2
(x + 4).4 = (y + 4).3
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3x -9 = 2y -6
3x = 2y + 3
x = 2y + 3/ 3
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4x + 16 = 3y + 12
4.(2y+3/3) + 16 = 3y + 12
8y + 12/3 + 16 = 3y + 12
8y + 12/3 = 3y -4
8y + 12 = (3y - 4).3
8y + 12 = 9y - 12
8y - 9y = -12 -12
-y = -24
y = 24
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x = 2.24 + 3/3
x = 48 + 3/3
x = 51/3
x = 17
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