Which equation has no solution?

|4x – 2| = –6

|–2 – x| = 9
|3x + 6| = 6
|–2x + 8| = 0

Option A.

Step-by-step explanation:

|4x - 2| = -6

If (4x - 2) = -6 [we take the left hand side of the equation as positive first]

4x = 2 - 6

4x = -4

x = -1

Similarly, we take the value of left hand side negative.

-(4x - 2) = -6

-4x + 2 = -6

-4x = -2 - 6

-4x = -8

x = 2

Now we plug in the value x = -1 in the left hand side.

|4x - 2| = |4(-1) - 2|

= |-4 - 2|

= |-6|

= 6 ≠ (-6) [Right hand side of the equation]

For x = 2

|4x - 2| = |4(2) - 2|

= |8 - 2|  

= |6|

= 6 ≠ (-6) [Right hand side of the equation]

Therefore, Option A. has no solution.

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction

answer by yourhope:

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