Question

your friend says that the absolute value equation | 3x + 8 |-9= -5 has no solution because the constant on the right side of the equation is negative. is your friend correct ? explain.

Answer 1

Hello from MrBillDoesMath!

Answer:

Your friend is incorrect

Discussion:

| 3x + 8 | -9  = -5           =>    ( add 9 to both sides)

| 3x + 8 |  -9 + 9 = -5 + 9 =>

| 3x + 8 |  = 4 =>

3x +8 = 4  or  3x + 8 = -4 =>

x = -4/3    or   x = -4

Thank you,

MrB