Question

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

Answer 1

Answer:

Option 4 - No solution exist    

Step-by-step 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

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

$3|6| = -18$

$18\neq -18$

At x=5

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

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

$3|-6|\neq -18$

The solution does not exist.

At x=1

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

$3|6| = -18$

$18\neq -18$

The solution does not exist.

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

So, Option 4 is correct.

Answer 2

No solution.

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

3*Positve cannot be = -18.