Question

Calcule o valor de X nas proporções:

A)4/5=X+1/3

B) 3/4=X+4/X+1

C) X-3/2=X+3/5

Answer 1

Olá!

a)
$\frac{4}{5} = \frac{x + 1}{3} \\ 5(x + 1) = 4 \times 3 \\ 5x + 5 = 12 \\ 5x = 12 - 5 \\ 5x = 7 \\ \boxed{x = \frac{7}{5} }$
b)
$\frac{3}{4} = \frac{x + 4}{x + 1} \\ 4(x + 4) = 3(x + 1) \\ 4x + 16 = 3x + 3 \\ 4x - 3x = 3 - 16 \\ \boxed{x = - 13}$
c)
$\frac{x - 3}{2} = \frac{x + 3}{5} \\ 2(x + 3) = 5(x -3) \\ 2x + 6 = 5x - 15 \\ 2x - 5x = - 15 - 6\\ - 3x = - 21 (-1) \\ 3x = 21 \\ x = \frac{21}{3} \\ \boxed{x = 7}$

Bons estudos.