Respostas
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1) (5x-1)/(x+2) = 6/8
8.(5x-1) = 6.(x+2)
40x-8 = 6x+12
40x-6x = 12+8
34x = 20
x = 20/34
x = 10/17
2)
5/2 / x = -2/5
-2x = 5 . 5/2
-2x = 25/2
2x = -25/2
x = -25/2 . 1/2
x = -25/4
2b)
(3/4)/x = (9/2)/-4
9x/2 = -4.(3/4)
9x/2 = -12/4
9x/2 = -3
9x = -6
x = -6/9
x = -2/3
3)
x/5 = y/2
x+y = 84
2x = 5y
x = 5y/2
5y/2 + y = 84
5y +2y = 168
7y = 168
y = 168/7
y = 24
x+y = 84
x+24 = 84
x = 84-24
x = 60
8.(5x-1) = 6.(x+2)
40x-8 = 6x+12
40x-6x = 12+8
34x = 20
x = 20/34
x = 10/17
2)
5/2 / x = -2/5
-2x = 5 . 5/2
-2x = 25/2
2x = -25/2
x = -25/2 . 1/2
x = -25/4
2b)
(3/4)/x = (9/2)/-4
9x/2 = -4.(3/4)
9x/2 = -12/4
9x/2 = -3
9x = -6
x = -6/9
x = -2/3
3)
x/5 = y/2
x+y = 84
2x = 5y
x = 5y/2
5y/2 + y = 84
5y +2y = 168
7y = 168
y = 168/7
y = 24
x+y = 84
x+24 = 84
x = 84-24
x = 60
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