Aflati valoarea raportului numerelor x si y daca (ex. 31 va rog):
Răspunsuri la întrebare
Răspuns:
Explicație pas cu pas:
a) 19(x + y) = 8(2x + 3y)
19x + 19y = 16x + 24y
19x - 16x = 24y - 19y
3x = 5y
x/y = 5/3
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b) 7(6x - 2y) = 12x + 5y
42x - 14y = 12x + 5y
42x - 12x = 14y + 5y
30x = 19y
x/y = 19/30
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c) 1,(1) = 10/9
(6x + 2y)/(5x + 3y) = 10/9
9(6x + 2y) = 10(5x + 3y)
54x + 18y = 50x + 30y
54x - 50x = 30y - 18y
4x = 12y
x/y = 12/4 = 3
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d) 0,0(6) = 6/90 = 1/15
(x - 3y)/(2x + 7y) = 1/15
15(x - 3y) = 2x + 7y
15x - 45y = 2x + 7y
15x - 2x = 45y + 7y
13x = 52y
x/y = 52/13 = 4
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e) (2x + 5y)/(4x - y) = 37/19
19(2x + 5y) = 37(4x - y)
38x + 95y = 148x - 37y
95y + 37y = 148x - 38x
132y = 110x
x/y = 132/110 = 66/55 = 6/5
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f) 18(x + 0,5y) = 7(3x + y)
18x + 9y = 21x + 7y
9y - 7y = 21x - 18x
2y = 3x
x/y = 2/3