Question

Resolva as equações abaixo:
a) x - 3 = 9

b) 4x - 9 = 1 - 2

c) x + 5 = 20 - 4x

d) 9x - 4x + 10 = 7x – 30

e) x/2 = -5

f) 2x + 14 = 5x - 1

g) 4x - 5 = 6x + 11

h) 5x + 4 - 2x = 26 - 3x

i) 5m - 7 - 2m - 2 = 0

j) y - 8 + 5y = -3 +2y + 7

k) 4t + 9 = 3t + 5

l) -10 + 4 - 2x = -4x - 7

m) 10x - 8 - 2 = 7x - 4

2) Qual a resposta da equação -5x+45-89=-90+41?

3) Qual a resposta da equação 13x-23-45=-7x+12?

Answer 1

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$\green{\rm\underline{EXPLICAC_{\!\!\!,}\tilde{A}O\ PASSO{-}A{-}PASSO\ \ \ }}$✍

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☺lá, Rafaella, como tens passado nestes tempos de quarentena⁉ E os estudos à distância, como vão⁉ Espero que bem❗ Acompanhe a resolução abaixo, feita através de algumas manipulações algébricas, e após o resultado você encontrará um link com mais informações sobre Manipulação Algébrica que talvez te ajude com exercícios semelhantes no futuro. ✌

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Ⓐ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ x - 3 = 9 }}}$

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➡ $\sf\blue{ x = 9 + 3 }$

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$\large\green{\boxed{\rm~~~\red{ A)}~\gray{x}~\pink{=}~\blue{ 12 }~~~}}$ ✅

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Ⓑ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 4x - 9 = 1 - 2 }}}$

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➡ $\sf\blue{ 4x = 3 + 9 }$

➡ $\sf\blue{ x = \dfrac{12}{4} }$

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$\large\green{\boxed{\rm~~~\red{ B)}~\gray{x}~\pink{=}~\blue{ 3 }~~~}}$ ✅

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Ⓒ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ x + 5 = 20 - 4x }}}$

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➡ $\sf\blue{ x + 4x = 20 - 5 }$

➡ $\sf\blue{ x = \dfrac{15}{5} }$

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$\large\green{\boxed{\rm~~~\red{ C)}~\gray{x}~\pink{=}~\blue{ 3 }~~~}}$ ✅

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Ⓓ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 9x - 4x + 10 = 7x - 30 }}}$

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➡ $\sf\blue{ -2x = -40 }$

➡ $\sf\blue{ x = \dfrac{40}{2} }$

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$\large\green{\boxed{\rm~~~\red{ D)}~\gray{x}~\pink{=}~\blue{ 20 }~~~}}$ ✅

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Ⓔ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ x/2 = -5 }}}$

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➡ $\sf\blue{ x = -5 \cdot 2 }$

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$\large\green{\boxed{\rm~~~\red{ E)}~\gray{x}~\pink{=}~\blue{ -10 }~~~}}$ ✅

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Ⓕ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 2x + 14 = 5x - 1 }}}$

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➡ $\sf\blue{ -3x = -15 }$

➡ $\sf\blue{ x = \dfrac{15}{3} }$

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$\large\green{\boxed{\rm~~~\red{ F)}~\gray{x}~\pink{=}~\blue{ 5 }~~~}}$ ✅

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Ⓖ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 4x - 5 = 6x + 11 }}}$

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➡ $\sf\blue{ -2x = 16 }$

➡ $\sf\blue{ x = \dfrac {1-6}{2}}$

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$\large\green{\boxed{\rm~~~\red{ G)}~\gray{x}~\pink{=}~\blue{ -8 }~~~}}$ ✅

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Ⓗ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 5x + 4 - 2x = 26 - 3x }}}$

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➡ $\sf\blue{ 6x = 22 }$

➡ $\sf\blue{ x = \dfrac{22}{6}}$

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$\large\green{\boxed{\rm~~~\red{ H)}~\gray{x}~\pink{=}~\blue{ \dfrac{11}{3} }~~~}}$ ✅

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Ⓘ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 5m - 7 - 2m - 2 = 0 }}}$

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➡ $\sf\blue{ 3m = 9 }$

➡ $\sf\blue{ m = \dfrac{9}{3} }$

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$\large\green{\boxed{\rm~~~\red{ I)}~\gray{m}~\pink{=}~\blue{ 3 }~~~}}$ ✅

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Ⓙ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ y - 8 + 5y = -3 +2y + 7 }}}$

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➡ $\sf\blue{ 4y = 12 }$

➡ $\sf\blue{ y = \dfrac{12}{4} }$

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$\large\green{\boxed{\rm~~~\red{ J)}~\gray{y}~\pink{=}~\blue{ 3 }~~~}}$ ✅

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Ⓚ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 4t + 9 = 3t + 5 }}}$

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➡ $\sf\blue{ t = -4 }$

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$\large\green{\boxed{\rm~~~\red{ K)}~\gray{t}~\pink{=}~\blue{ -4 }~~~}}$ ✅

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Ⓛ_____________________________✍

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$\large\gray{\boxed{\rm\blue{ -10 + 4 - 2x = -4x - 7 }}}$

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➡ $\sf\blue{ 2x = -1 }$

➡ $\sf\blue{ x = \dfrac{-1}{2} }$

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$\large\green{\boxed{\rm~~~\red{ L)}~\gray{x}~\pink{=}~\blue{ \dfrac{-1}{2} }~~~}}$ ✅

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M_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 10x - 8 - 2 = 7x - 4 }}}$

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➡ $\sf\blue{ 3x = 6 }$

➡ $\sf\blue{ x = \dfrac{6}{3} }$

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$\large\green{\boxed{\rm~~~\red{ M)}~\gray{x}~\pink{=}~\blue{ 2 }~~~}}$ ✅

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2)_____________________________✍

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$\large\gray{\boxed{\rm\blue{ -5x+45-89=-90+41 }}}$

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➡ $\sf\blue{ -5x = -5 }$

➡ $\sf\blue{ x = \dfrac{5}{5} }$

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$\large\green{\boxed{\rm~~~\red{ 2)}~\gray{x}~\pink{=}~\blue{ 1 }~~~}}$ ✅

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3)_____________________________✍

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$\large\gray{\boxed{\rm\blue{ 13x-23-45=-7x+12 }}}$

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➡ $\sf\blue{ 20x = 80 }$

➡ $\sf\blue{ x = \dfrac{80}{20} }$

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$\large\green{\boxed{\rm~~~\red{ 3)}~\gray{x}~\pink{=}~\blue{ 4 }~~~}}$ ✅

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_______________________________☁

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___________________________$\LaTeX$✍

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