Question

(2x-1)×0,5-x×0,(3)=(x+3)×0,1(6)​

Answer 1

Răspuns:

x = 2

Explicație pas cu pas:

2x*0.5 - 1*0.5 - x*0.(3) = x*0.1(6) + 3*0.1(6)

1x - 0.5 - x*(3/9) = x*[(16-1)/90] + 3*[(16-1)/90]

x - 5/10 - x*(1/3) = x*(15/90) + 3*(15/90)

x - 1/2 - (1/3)*x = x*(1/6) + 3*(1/6)

x - 1/2 - (1/3)*x = (1/6)*x + 1/2

x - (1/3)*x - (1/6)*x = 1/2 + 1/2

x * [1 -  (1/3) - (1/6)] = 2/2

x * [(6 - 2 - 1)/6] = 1

x * (3/6) = 1

x* 1/2 = 1

x = 1/(1/2)

x = 1 * (2/1)

x = 1*2

x = 2