Question

Calcule o valor de x nas expressões: a) 3x - 6 = x + 20 b) 6x + 1 = 9 - 2x c) 5x - 23 = - 5x + 17 d) 100x + 10 = 40x + 130 e) 15x + 3 - 6x = 15 - x + 8. Podem me ajudar?

Answer 1

Olá, espero que ajude!

Resposta:

a) x = 13

b) x = 1

c) x = 4

d) x = 2

e) x = 2

Explicação passo a passo:

a) 3x - 6 = x + 20

3x - x = 20 + 6

2x = 26

x = 13

b) 6x + 1 = 9 - 2x

6x + 2x = 9 - 1

8x = 8

x = 1

c) 5x - 23 = -5x + 17

5x + 5x = 17 + 23

10x = 40

x = 4

d) 100x + 10 = 40x + 130

100x -  40x = 130 - 10

60x = 120

x = 2

e) 15x + 3 - 6x = 15 - x + 8

15x - 6x + x = 15 + 8 - 3

10x =20

x = 2

Answer 2

➜ Os valores que obtemos nestas equações de primeiro grau representadas por expressões são de :

a) $x=13$

b) $x=1$

c) $x=4$

d) $x=2$

e) $x=2$

Obs : Uma equação é uma expressão matemática onde, obtemos uma igualdade e variáveis(letras)

Montando as equações :

a)

$\large 3x -6=x+20\\\\\large 3x-6-x=20\\\\\large 2x-6=20\\\\\large 2x=20+6\\\\2x=26\\\\\\\large x=\dfrac{26}{2} \\\\\\\large\boxed{x=13}$

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b)

$\large 6x+1=9-2x\\\\\large 6x+1+2x=9\\\\\large 8x+1=9\\\\\large 8x=9-1\\\\\large 8x=8\\\\\\\large x=\dfrac{8}{8} \\\\\\\large \boxed{x=1}$

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c)

$\large 5x-23=-5x+17\\\\\large 5x-23+5x=17\\\\\large 10x-23=17\\\\\large 10x=17+23\\\\\large 10x=40\\\\\\\large x= \dfrac{40}{10} \\\\\\\large\boxed{x=4}$

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d)

$\large 100x+10=40x+130\\\\\large 100x+10-40x=130\\\\\large 60x+10=130\\\\\large 60x=130-10\\\\\large 60x=120\\\\\large x=\dfrac{120}{60} \\\\\\\large\boxed{x=2}$

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e)

$\large +3-6x=15-x+8\\\\\large9x+3=15-x+8\\\\\large9x+3=23-x\\\\\large 9x+3+x=23\\\\\large 10x+3=23\\\\\large 10x=23-3\\\\\large10x=20\\\\\\x=\large\dfrac{20}{10} \\\\\\\large\boxed{x=2}$

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