Question

Determine o valor de x nas proporções. 154=30x 35=x10 1x=39 x15=15 x9=31 y2=1510 5y=36 78=14a 2x+1=15 5x-3=28 29=x+118 x+1x+2=23

Answer 1

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a)

$154 = 30x \\ 30x = 154 \\ x = \frac{154}{30}\\ x = \frac{77}{15}$

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b)

$35 = x.10 \\ 35 = 10x \\ 10x = 35 \\ x = \frac{35}{10} \\ x = \frac{7}{2}$

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c)

$1x = 39 \\ x = \frac{39}{1} \\ x = 39$

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d)

$x.15 = 15 \\ 15x = 15 \\ x = \frac{15}{15} \\ x = 1$

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e)

$x.9 = 31 \\ 9x = 31 \\ x = \frac{31}{9}$

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f)

$y.2 = 1510 \\ 2y = 1510 \\ y = \frac{1510}{2} \\ y = 755$

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g)

$5y = 36 \\ y = \frac{36}{5}$

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h)

$78 = 14.a \\ 14a = 78 \\ a = \frac{78}{14} \\ a = \frac{39}{7}$

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i)

$2x + 1 = 15 \\ 2x = 15 - 1 \\ 2x = 14 \\ x = \frac{14}{2} \\ x = 7$

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j)

$5x - 3 = 28 \\ 5x = 28 + 3 \\ 5x = 31 \\ x = \frac{31}{5}$

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k)

$29 = x + 118 \\ - x + 29 = 118 \\ - x = 118 - 29 \\ - x = 89 \\ x = - 89$

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l)

$x + x + 2 = 23 \\ 2x + 2 = 23 \\ 2x = 23 - 2 \\ 2x = 21 \\ x = \frac{21}{2}$