Question

(AJUDA PLIS)
EQUAÇÃO, BASTA RESPONDE APENAS COM O CALCULO+ RESULTADO
POR EXEMPLO:
QUESTÃO 35: (CALCULO+RESULTADO)

Answer 1

24)
a) 
x/3+x/2 = (7+x)/3 (mmc = 6) ⇒ 2x + 3x = 2(7+x) ⇒ 5x = 14 + 2x ⇒ 5x - 2x = 14 ⇒ 3x = 14 ⇒ x = 14/3

b) (x-2)/3 + 2x = 5x/2 (mmc = 6) ⇒ 2(x-2) + 12x = 15x ⇒ 2x - 4 + 12x = 15x ⇒ 14x - 15x = 4 ⇒ -x = 4 ⇒ x = -4

c) (x-5)/3 + (3x-1)/2 = 4 (mmc = 6) ⇒ 2(x-5) + 3(3x-1) = 24 ⇒ 2x - 10 + 9x - 3 = 24 ⇒ 11x = 10 + 3 + 24 ⇒ 11x = 37 ⇒ x = 37/11

d) (x-1)/5 = x - (2x-1)/3 (mmc = 15) ⇒ 3(x-1) = 15x - 5(2x -1) ⇒ 3x - 3 = 15x - 10x + 5 ⇒ 3x - 15x + 10x = 3 + 5 ⇒ -2x = 8 ⇒ x = -4

25)

3x - 2(x - 5) + (3x-5)/2 = 0 (mmc = 2) ⇒ 6x - 4x + 20 + 3x - 5 = 0 ⇒ 6x - 4x + 3x = 5 - 20 ⇒ 5x = -15 ⇒ x = -15/3 ⇒ x = -3

Answer 2

24)

a) $\frac{x}{3} \ + \ \frac{x}{2} \ = \ \frac{7 \ + \ x}{3}$

MMC:

$\frac{2x \ + \ 3x \ = \ 14 \ + \ 2x}{6}$

$\frac{2x \ + \ 3x \ = \ 14 \ + \ 2x}{\not{6}}$

$2x \ + \ 3x \ = \ 14 \ + \ 2x$

$\not{2x} \ + \ 3x \ = \ 14 \ + \ \not{2x}$

$3x \ = \ 14$

$\boxed{\bold{x \ = \ \frac{14}{3}}}$



b) $\frac{x \ - \ 2}{3} \ + \ 2x \ = \ \frac{5x}{2}$

MMC:

$\frac{2x \ - \ 4 \ + \ 12x \ = \ 15x}{6}$

$\frac{2x \ - \ 4 \ + \ 12x \ = \ 15x}{\not{6}}$

$2x \ - \ 4 \ + \ 12x \ = \ 15x$

$2x \ + \ 12x \ - \ 15x \ = \ 4$

$-x \ = \ 4$

$-x \ = \ 4 \ . \ (-1)$

$\boxed{\bold{x \ = \ -4}}$



c) $\frac{x \ - \ 5}{3} \ + \ \frac{3x \ - \ 1}{2} \ = \ 4$

MMC:

$\frac{2x \ - \ 10 \ + \ 9x \ - \ 3 \ = \ 24}{6}$

$\frac{2x \ - \ 10 \ + \ 9x \ - \ 3 \ = \ 24}{\not{6}}$

$2x \ - \ 10 \ + \ 9x \ - \ 3 \ = \ 24$

$2x \ + \ 9x \ = \ 24 \ + \ 10 \ + \ 3$

$11x \ = \ 37$

$\boxed{\bold{x \ = \ \frac{37}{11}}}$



d) $\frac{x \ - \ 1}{5} \ = \ x \ - \ \frac{2x \ - \ 1}{3}$

MMC:

$\frac{3x \ - \ 3 \ = \ 15x \ - \ (10x \ - \ 5)}{15}$

$\frac{3x \ - \ 3 \ = \ 15x \ - \ (10x \ - \ 5)}{\not{15}}$

$3x \ - \ 3 \ = \ 15x \ - \ 10x \ + \ 5$

$3x \ - \ 15x \ + \ 10x \ = \ 5 \ + \ 3$

$-2x \ = \ 8$

$x \ = \ \frac{8}{-2}$

$\boxed{\bold{x \ = \ -4}}$



25) $3x \ - \ 2(x \ - \ 5) \ + \ \frac{3x \ - \ 5}{2} \ = \ 0$

$3x \ - \ 2x \ + \ 10 \ + \ \frac{3x \ - \ 5}{2} \ = \ 0$

MMC:

$\frac{6x \ - \ 4x \ + \ 20 \ + \ 3x \ - \ 5}{2} \ = \ 0$

$\frac{6x \ - \ 4x \ + \ 20 \ + \ 3x \ - \ 5}{\not{2}} \ = \ 0$

$6x \ - \ 4x \ - \ 20 \ + \ 3x \ - \ 5 \ = \ 0$

$6x \ - \ 4x \ + \ 3x \ = \ -20 \ + \ 5$

$5x \ = \ -15$

$x \ = \ \frac{-15}{5}$

$\boxed{\bol{x \ = \ -3}}$