Question

Which equation has no solution?

|–x – 3| = 5
|2x – 1| = 0
|5 – 3x| = –8
|–x + 9| = 0

Answer 1

The third one.

Because the answer of the absulate value equations is always positive.

Answer 2

Therefore, |5 – 3x| = –8 has no solution.

Explanation:

Given : |–x – 3| = 5

|2x – 1| = 0

|5 – 3x| = –8

|–x + 9| = 0.

To find : Which equation has no solution.

Solution : We have given that |–x – 3| = 5

|2x – 1| = 0

|5 – 3x| = –8

|–x + 9| = 0

As we know that values outside the modulus is positive or zero.

Then, all the option has positive values or zero except |5 – 3x| = –8 .

If we plug any values of x it would not be equal to -8 .

Therefore, |5 – 3x| = –8 has no solution.