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.

Question

Mathematics

Franco Love

28 January, 00:16

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.

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Answers (1)

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Maverick Villarreal · 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