Question

Calcule o valor de X:

A) X+1 24
---- = -----
X-5 6


B) 10 3X+1
--- = --------
15 5X-2

Answer 1

Calcule o valor de X:

A)


X+1    24
---- = -----  basta cruzar
X-5     6
 
24(x - 5) = 6(x + 1)
24x - 120 = 6x+ 6
24x - 120 - 6x = 6
24x - 6x = 6 + 120
18x = 126
x = 126/18
x = 7


B)
 
10       3X+1
--- = -----------  só cruzar
15       5X-2

10(5x - 2) = 15(3x + 1)
50x - 10 = 45x + 15
50x - 10 - 45x = 15
50x - 45x = 15 + 10
5x = 25
x = 25/5
x = 5