Question

Determine o valor de x em cada uma das seguintes proporções

Answer 1

A) 63x = 63; x = 1

B) 8x = 64; x = 8

C) 4x = 30; x = 15/2

D)

2(x+50) = 9(x + 8)

2x + 100 = 9x + 72

28 = 7x

x = 4

Answer 2

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$\boxed{\begin{array}{l}\tt a)~\sf\dfrac{x}{7}=\dfrac{9}{63}\\\sf 63x=63\\\sf x=\dfrac{63}{63}\\\sf x=1\\\tt b)~\sf\dfrac{8}{32}=\dfrac{2}{x}\\\sf 8x=64\\\sf x=\dfrac{64}{8}\\\sf x=8\\\tt c)~\sf\dfrac{2}{10}=\dfrac{3}{2x}\\\sf 4x=30\\\sf x=\dfrac{30\div2}{4\div2}\\\sf x=\dfrac{15}{2}\\\tt d)~\sf\dfrac{3,7}{11}=\dfrac{x}{55}\\\sf 11x=55\cdot3,7\\\sf x=\dfrac{\diagdown\!\!\!\!\!\!55^5\cdot3,7}{\diagdown\!\!\!\!\!11}\\\sf x=18,5\end{array}}\blue{\checkmark}$

$\large\boxed{\begin{array}{l}\sf\tt e)~\sf\dfrac{2}{9}=\dfrac{x+8}{x+50}\\\sf 9x+72=2x+100\\\sf 9x-2x=100-72\\\sf7x=28\\\sf x=\dfrac{28}{7}\\\sf x=4\end{array}}\blue{\checkmark}$