Question

Which of the following is(are) the solution(s) to |15x + 2 |= 8 ?

Answer 1

Hi!

`|15x+2|=8\\\\\\15x+2=8\\15x=8-2\\15x=6 \ \ |:15\\\boxed{x_1=0,4}\\\\\\15x+2=-8\\15x=-8-2\\15x=-10 \ \ |:15\\\boxed{x_2=-(2)/(3)}`

Answer 2

x = 2/5 x = -2/3

Explanation:

|15x + 2 |= 8

There are two solutions, one positive and one negative

15x + 2 = 8 and 15x + 2 = -8

Subtract 2 from each side

15x + 2-2 = 8-2 and 15x + 2-2 = -8-2

15x = 6 15x = -10

Divide by 15

15x/15 = 6/15 15x /15 = -10/15

x = 2/5 x = -2/3