Question

resolva as esquacoes
a) 3x/5 - 1/2= x -25


b)x/2 + 3/4= 2x/6 -1/3


c) 3y/2 - 1 = 3/4 - 2y


d) 4(y-2)+3(2y-1)=6(2y-3)

e) 2-a/10 + a-5/8 = -1/2


f) 3y/2 - y-5/3 = 1+2y+4/4

Answer 1

a) 3x/5 - 1/2= x -25
mmc(2,5) = 10 
2*3x/10 - 5*1/10 = 10*x/10 - 10*25/10
6x -5 = 10x -250
6x - 10x = -250 + 5 
-4x = -245
x = 245/5

b)x/2 + 3/4= 2x/6 -1/3
mmc(2,3,4) = 12
6x/12 + 3*3/12 = 2*2x/12 - 4*(-1)/12
3x + 9 = 4x + 4
3x - 4x = -9 + 4 
-x = -5
x = 5 

c) 3y/2 - 1 = 3/4 - 2y
mmc(2,4) = 4 
2*3y/4 - 4*1/4 = 1*3/4 - 4*2y/4
6y - 4 = 3 - 8y 
6y + 8y = 3 + 4 
14y = 7 
y = 7/14
y = 1/2

d) 4(y-2)+3(2y-1)=6(2y-3)
4y - 8 + 6y -3 = 12y - 18 
10y - 11 = 12y - 18 
10y - 12y = -18 + 11
-2y = -7
y = 7/2

e) 2-a/10 + a-5/8 = -1/2
mmc(2,8,10) = 40
4(2 -a)/40 + 5(a-5)/40 = 20*(-1)/40
8 -4a + 5a -25 = -20
a = -8 +25 -20 
a = -3

f) 3y/2 - y-5/3 = 1+(2y+4)/4
mmc(2,3,4) = 12 
6*3y/12 - 4(y-5)/12 = 12*1/12 + 3(2y+4)/12
18y - 4y + 20 = 12 + 6y +12
18y - 6y = 12 - 20 + 12 
12y = 4
y = 4/12
y = 1/3

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02/02/2017
Sepauto
SSRC
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