Question

Resolva as equações:
1)x-1/2 + x+3/3=6
2)2x-3/4 - 2-x/3=x-1/3
Não quero somente resposta faça a conta também.

Answer 1

1.

x - 1  +   x + 3  =   6
  2             3          1

mmc (2,3) = 6

3(x - 1) + 2(x + 3) = 36
          6                   6

3x - 3 + 2x + 6 = 36
3x + 2x - 3 + 6 = 36
5x + 3 = 36
5x = 36 - 3
5x = 33
x = 33/5
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2)

2x - 3 -   2 - x =  x - 1
   4           3         3

mmc (4,3) = 12

3(2x - 3) - 4(2 - x) = 4(x - 1)
          12                   12


6x - 9 - 8 + 4x =4x - 4
10x - 17 = 4x - 4
10x - 4x = - 4 + 17
6x = 13
x = 13/6

Answer 2

$1)~~ \dfrac{x-1}{2} + \dfrac{x+3}{3} =6\to~~mmc=6\\\\ 3x-3+2x+6=36\to\\\\ 3x+2x=36+3-6\to\\\\ 5x=33\to\\\\ \large\boxed{x= \frac{33}{5} }$





$2)~~ \dfrac{2x-3}{4} - \dfrac{2-x}{3} = \dfrac{x-1}{3} \to~~mmc=12\\\\ 6x-9-(8-4x)=4x-4\to\\\\ 6x-9-8+4x=4x-4\to\\\\ 6x+\not4x-\not4x=-4+9+8\to\\\\ 6x=13\to\\ \\ \large\boxed{x= \frac{13}{6} }$