Question

Calculando o m.m.c,resolva as equações reconhencendo o valor da incognita.
I) x - x = 3 
   4   6 

II) 3x - x =5
    4    3

III) x + 1 = 3
          2    5

IV) 5x + 1 = 2x - 1
             3           2

me ajudem?! Pfv

Answer 1

Olá Isaah, boa noite!

I)

$\frac{x}{4} \ - \ \frac{x}{6} = \ 3 \\ \\ \frac{3x \ - \ 2x \ = \ 36}{12} \\ \\ 3x \ - \ 2x \ = \ 36$

x = 36


II)

$\frac{3x}{4} \ - \ \frac{x}{3} \ = \ 5 \\ \\ \frac{9x \ - \ 4x \ = \ 60}{12} \\ \\ 9x \ - \ 4x \ = \ 60 \\ \\ 5x \ = \ 60 \\ \\ x \ = \ \frac{60}{5}$

x = 12


III)

$x \ + \ \frac{1}{2} \ = \ \frac{3}{5} \\ \\ \frac{10x \ + \ 5 \ = \ 6}{10} \\ \\ 10x \ + \ 5 = \ 6 \\ \\ 10x \ = \ 6 \ - \ 5 \\ \\ 10x \ = \ 1 \\ \\ x \ = \frac{1}{10}$


IV)

$5x \ + \ \frac{1}{3} \ = \ 2x \ - \ \frac{1}{2} \\ \\ \frac{5x \ + \ 2 \ = \ 12x \ - \ 3}{6} \\ \\ 5x \ + \ 2 \ = \ 12x \ - \ 3 \\ \\ 5x \ - \ 12x \ = - \ 3 \ - \ 2 \\ \\ - \ 7x \ = \ - \ 5 \ \ . \ (-1) \\ \\ 7x \ = \ 5 \\ \\ x \ = \ \frac{5}{7}$


Bons Estudos!