Răspuns:
a = 34 ; b = 119
Explicație pas cu pas:
a/2 = b/7 => a = 2b/7
b-a = 85
⁷⁾b - 2b/7 = ⁷⁾85 =>
7b-2b = 595 <=>
5b = 595 => b = 595:5 => b = 119
a = b-85 => a = 119-85 = > a = 34
sau a = (2·119)/7 = 34
varianta II
a/2 = b/7 => a = 2b/7
a-b = 85
2b/7 - ⁷⁾b = ⁷⁾85 =>
-5b = 595 => b = -119
a = b+85 =>
a = -119+85 => a = -34