Question

Your friend says 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?

Make sure to show the work and solution the problem, as well as the explanation.

Answer 1

No, ur friend is not correct

| 3x + 8 | - 9 = -5 You have to get the absolute value (and everything in it) on one side of the equal sign, and everything else on the other side. So we have to get that -9 across the equal sign by adding 9 to both sides.

| 3x + 8 } = -5 + 9

| 3x + 8 | = 4 So that number is not negative anymore.

now u can set up ur 2 equations and solve for x, your 2 equations would be:

3x + 8 = 4 and 3x + 8 = -4

** If that -9 would not have been there, then ur friend would have been correct.

Hope this helps!!

Explanation: