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

Answer:No friend is wrong

Step-by-step explanation: you actually get two answers. After you isolate the absolute value then you take the positive and negative number of what it's set equal too.

|3x + 8| - 9 = -5 add 9 to isolate the absolute value

|3x + 8| = 4

Now set two equations because the abosulte value has two answers.

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

Solve these by removing the absolute value bars.

3x = -4. 3x = -12

x = -4/3. X = -4