Question

Determine o valor de "x" na equação 3.(4x - 10) + 5 = 11 e o valor de "y" na equação 6.(5 - y) + 10 = 8(2y + 4) - 64 - 10y. Qual o valor de x + y?​

Answer 1

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⠀⠀☞ Tendo encontrado o valor de x e de y também pudemos encontrar que a equação x + y é igual à 10. ✅

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⠀⠀Vamos encontrar o valor de x e de y através de algumas manipulações algébricas:

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$\LARGE\blue{\sf (4x - 10) + 5 = 11}$

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$\LARGE\blue{\sf 4x - 10 + 5 = 11}$

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$\LARGE\blue{\sf 4x - 5 = 11}$

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$\LARGE\blue{\sf 4x = 11 + 5}$

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$\LARGE\blue{\sf 4x = 16}$

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$\LARGE\blue{\sf x = \dfrac{16}{4}}$

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$\LARGE\blue{\sf x = 4}$

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$\blue{\sf 6(5 - y) + 10 = 8(2y + 4) - 64 - 10y}$

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$\blue{\sf 30 - 6y + 10 = 16y + 32 - 64 - 10y}$

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$\LARGE\blue{\sf 40 - 6y = 6y - 32}$

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$\LARGE\blue{\sf 40 + 32 = 6y + 6y}$

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$\LARGE\blue{\sf 72 = 12y}$

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$\LARGE\blue{\sf y = \dfrac{72}{12}}$

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$\LARGE\blue{\sf y = 6}$  

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$\LARGE\blue{\sf x + y = 4 + 6}$

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$\LARGE\blue{\sf x + y = 10}$

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$\huge\green{\boxed{\rm~~~\gray{x+y}~\pink{=}~\blue{ 10 }~~~}}$ ✅

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$\bf\large\red{\underline{\quad\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$

⠀⠀☀️ Leia mais sobre:

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✈ Manipulação Algébrica (brainly.com.br/tarefa/37266101)  

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⠀⠀⠀⠀☕ $\Large\blue{\text{\bf Bons~estudos.}}$

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