Question

What is the solution to 3|–3x + 9| = –18?

x = –5
x = 5 or x = 1
x = –5 or x = 1
no solution

Answer 1

No solution.

Because once the |–3x + 9| is done the resulting answer is positive.

3*Positve cannot be = -18.

Answer 2

Option 4 - No solution exist

Explanation:

Given : Expression
`3|-3x + 9| = -18`

To find : What is the solution of the expression?

Solution :

Step 1 - Write the expression

`3|-3x + 9| = -18`

Step 2 - Divide the expression by 3 both side,

`|-3x + 9| = -6`

Step 3 - Break down the problem into two equation,

`-3x + 9 = -6` ....(1)

`-(-3x + 9 )= -6` ....(2)

Step 4 - Solving equation (1),

`-3x + 9 = -6`

`-3x=-15`

`x=5`

Step 4 - Solving equation (2),

`-(-3x + 9 )= -6`

`3x-9=-6`

`3x=3`

`x=1`

The values of x are x=1 and 5.

Step 5 - Now, We check the points in the equation

At x=1

`3|-3(1) + 9| = -18`

`3|6| = -18`

`18\\eq -18`

At x=5

`3|-3(5) + 9| = -18`

`3|-15+9| = -18`

`3|-6|\\eq -18`

The solution does not exist.

At x=1

`3|-3(1) + 9| = -18`

`3|6| = -18`

`18\\eq -18`

The solution does not exist.

Therefore, The solution of the given expression does not exist.

So, Option 4 is correct.