Question

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Answer 1

Respostas:

Letra e) x = 4

Outra questão) x = 5

Explicação passo a passo:

Letra e)

$\frac{4-x}{8} =\frac{x-1}{3} -\frac{x}{4}$

Vamos resolver os termos depois da igualdade, para isso vamos tirar o mmc.

O mmc de 3 e 4 é:

3 , 4  | 2

3 , 2  | 2

3 , 1   | 3

1 , 1    

Multiplicando os divisores, temos o mmc, então:

2.2.3 = 12

 $\frac{4-x}{8} =\frac{\frac{x-1}{3}+\frac{x}{4}}{12}\\\\\frac{4-x}{8} =\frac{4(x-1)-3(x)}{12} \\\\\frac{4-x}{8} =\frac{4x-4-3x}{12}$

Multiplicando cruzado temos:

$12(4-x) = 8(4x-4-3x)\\48-12x = 8(x-4)\\48-12x = 8x-32\\(-12x-8x = -32 -48).(-1)\\12x+8x = 32+48\\20x = 80\\x=\frac{80}{20} \\x= 4$

Agora vamos para a outra questão:

$\frac{2x+80}{9} =\frac{5x+35}{6}\\Multiplicando cruzado, temos:\\6(2x+80)=9(5x+35)\\12x+480=45x+315\\12x-45x=315-480\\(-33x=-165).(-1)\\x=\frac{165}{33} \\x= 5$

Answer 2

Resposta:

e) X=4

Explicação passo-a-passo:

$\frac{4 - x}{8} = \frac{x - 1}{3} - \frac{x}{4} \\ \\ 3(4 - x) = 8(x - 1) - 6x$

$12 - 3x = 8x - 8 - 6x \\ 12 - 3x = 2x - 8 \\ - 3x - 2x = - 8 - 12 \\ - 5x = - 20 \\ \\ x = - 20 \div 5$

$x = - 20 \div 5 \\ x = 4$