Răspuns :
a-b=88
a:b=5 rest 4 a=5b+4
inlocuim necunoscutele:
5b+4-b=88
4b+4=88
4b=88-4
4b=84
b=84:4
b=21
a-21=88
a=88+21
a=109
109-21=88
109:21=5 rest 4
a:b=5 rest 4 a=5b+4
inlocuim necunoscutele:
5b+4-b=88
4b+4=88
4b=88-4
4b=84
b=84:4
b=21
a-21=88
a=88+21
a=109
109-21=88
109:21=5 rest 4
x - y = 88
x : y = 5 rest 4 => x = 5y + 4
5y + 4 - y = 88 <=> 4y + 4 = 88 <=> 4y = 88 - 4 <=> 4y = 84 <=> y = 84 : 4 <=> y = 21
x = 5 × 21 + 4 <=> x = 105 + 4 <=> x = 109
x : y = 5 rest 4 => x = 5y + 4
5y + 4 - y = 88 <=> 4y + 4 = 88 <=> 4y = 88 - 4 <=> 4y = 84 <=> y = 84 : 4 <=> y = 21
x = 5 × 21 + 4 <=> x = 105 + 4 <=> x = 109