Question

Calcule o valor de x nas proporções
a) x/6 = x+2/10
b) 2x/15 = 6/9

Answer 1

a)
$\frac{x}{6} = \frac{x + 2}{10} \\ 10 \times x = 6(x + 2) \\ 10x = 6x + 12 \\ 10x - 6x = 12 \\ 4x = 12 \\ x = \frac{12}{4} \\ x = 3$
b)
$\frac{2x}{15 } = \frac{6}{9} \\ 2x \times 9 = 6 \times 15 \\18x = 90 \\ x = \frac{90}{18} \\ x = 5$