Răspuns:
Explicație pas cu pas:
a) a/b = 0,2 = 2/10 = 1/5 => b = 5a
a - b = 16 ; a -5a = 16 => -4a = 16 => a = 16:(-4) =>
a = -4 ; b = -20
c) a/b = 0,3 = 3/10 => a = 3b/10
a + b = 65 => 3b/10 + ¹⁰⁾b = ¹⁰⁾65 => 3b+10b = 650 =>
13b = 650 => b = 650:13 => b = 50 ; a = 15
d) a/b = 1,(3) = (13-1)/9 = 12/9 = 4/3 => a = 4b/3
a+b = 84 => 4b/3 + ³⁾b = ³⁾84 => 4b + 3b = 252 =>
7b = 252 => b = 252:7 => b = 36 ; a = (4·36):3 => a = 48
e) a/b = 0,(6) = 6/9 = 2/3 => a = 2b/3
a-b = 13 => 2b/3 - ³⁾b = ³⁾13 => 2b-3b = 39 =>
-b = 39 => b = -39 ; a = 2·(-39):3 = 2·(-13) = >
a = -26
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