Question

RESUELVE LA ECUACIÓN
(5x+1)/6 + (2x+1)/3 = 2

Answer 1

(5x+1)/6 + (2x+1)/3 = 2

5x + 1 + 4x + 2 = 12

9x + 3 = 12

9x = 9

x = 1

Answer 2

(5x + 1)/6 + (2x + 1)/3 = 2 [Multiplicamos por 6, para no trabajar con fracciones]

6(5x + 1)/6 + 6(2x + 1)/3 = 6(2) [Resolvemos: 6/6 = 1 ; 6/3 = 2 y 6(2) = 12

1(5x + 1) + 2(2x + 1) = 12

5x + 1 + 4x + 2 = 12

5x + 4x + 1 + 2 = 12

9x + 3 = 12

9x = 12 - 3

9x = 9

x = 9/9

∴ x = 1