Question

Resolvendo as equações

A) 3. (16x-1) = 20

B) 4. (8x-2) = 10

C) 6. (x-4) = 2. x-11

D) 12. (x-6) = 9. (x-8)

E) 17. (x-1) = 15. (x-2)

F) 2. (y-10) = 19. (y-1)​

Answer 1

Resolvidas as equações, os resultados obtidos foram:

$A) -23/48\\\\B) 9/16\\\\C) 1/2\\\\D) 0\\\\E) -13/2\\\\F) -1/17$

Para resolver as equações, isola-se a variável das mesmas no primeiro,

membro, e os demais termos no segundo membro.

$A) 3. (16x-1) = 20\\48x - 3 = 20\\48x = 20 + 3\\48x = 23\\x = -23 / 48$

$B) 4. (8x-2) = 10\\\\32x - 8 = 10\\32x = 10 + 8\\32x = 18\\x = 18 / 32\\x = 9 / 16$

$C) 6. (x-4) = 2. (x-11)\\\\6x - 24 = 2x - 22\\6x - 2x = -22 + 24\\4x = 2\\x = 2/4\\x = 1 / 2$

$D) 12. (x-6) = 9. (x-8)\\12x - 72 = 9x - 72\\12x - 9x = -72 + 72\\3x = 0\\x = 0 / 3\\x = 0$

$E) 17. (x-1) = 15. (x-2)\\17x - 17 = 15x - 30\\17x - 15x = -30 + 17\\2x = -13\\x = -13 / 2$

$F) 2.(y - 10) = 19.(y - 1)\\\\2y - 20 = 19y - 19\\\\2y - 19y = -19 + 20\\\\-17y = 1\ (-1)\\\\17y = -1\\\\y = -1 / 17$

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