Question

folosind proporții derivate aflați x: a)x+1/x= 7/6
b) x/x+2= 7/9
c) x/8=x+1/9
va rog repede

Answer 1

a)

$\frac{x + 1}{x} = \frac{7}{6}$

$6(x + 1) = 7x$

$6 x + 6 = 7x$

$6x - 7x = - 6$

$- x = - 6$

$x = 6$

b)

$\frac{x}{x + 2} = \frac{7}{9}$

$9x = 7(x + 2)$

$9x = 7x + 14$

$9x - 7x = 14$

$2x = 14$

$x = 7$

c)

$\frac{x}{8} = \frac{x + 1}{9}$

$9x = 8(x + 1)$

$9x = 8x + 8$

$9x - 8x = 8$

$x = 8$