Question

resolva o sistema de equação
x/6 = y/4
5x +3y =26

Answer 1

{x/6 = y/4
{5x + 3y = 26

x/6 = y/4
x = 6 . y/4
x = 6y/4 ← usaremos.

5x + 3y = 26
5 . (6y/4) + 3y = 26
30y/4 + 3y = 26

m.m.c é 4

(30y + 4 . 3y)/4 = 26
(30y + 12y)/4 = 26
42y/4 = 26
42y = 4 . 26
42y = 104
y = 104/42 = 52/21

x = 6y/4
x = 6(52/21)/4
x = 312/21 / 4
x = 312/21 . 1/4
x = 312/84 = 156/42 = 78/21 = 26/7

x = 26/7 e y = 52/21