Question

Write 2 equations needed to solve this problem

Answer 1

x = - 8, x = - 6

Explanation:

Given

8 | x + 7 | - 3 = 5 ( add 3 to both sides )

8 | x + 7 | = 8 ( divide both sides by 8 )

| x + 7 | = 1

The expression inside the bars can be positive or negative, thus

x + 7 = 1 or - (x + 7) = 1 ← 2 equations to be solved

x + 7 = 1 ( subtract 7 from both sides )

x = - 6

or

-(x + 7) = 1

- x - 7 = 1 ( add 7 to both sides )

- x = 8 ( multiply both sides by - 1 )

x = - 8