Question

5) Usando a propriedade distributiva resolva as seguintes equações.

a) 10 (x + 1 ) -5 (x - 2 ) = 60

b) 5 (x - 2 ) -13 = 2 ( 3x - 1 )​

Answer 1

a) 10 (x + 1) - 5 ( x - 2 ) = 60

= 10x + 10 - 5 ( x - 2 ) = 60

= 10x + 10 - 5x + 10 = 60

= 5x + 10 + 10 = 60

= 5x + 20 = 60

= 5x = 60 - 20

= 5x = 40

= x = 40 ÷ 5

= x = 8

b) 5 ( x - 2 ) - 13 = 2 ( 3x - 1 )

= 5x - 10 - 13 = 2 ( 3x - 1 )

= 5x - 10 - 13 = 6x - 2

= 5x - 23 = 6x - 2

= 5x - 6x = - 2 + 23

= - x = 21

= x = - 21