Question

Solve for x: −3|x − 3| = −6 (10 points)

A. x = 1, x = −1

B. x = 1, x = 5

C. x = 0, x = 5

D. No solutions

Answer 1

I hope this helps you



step one:


-3 (x-3)= -6


-3x+9= -6


-3x= -15


x=5


step two:


-3 (-(x-3))= -6


-3 (-x+3)= -6


3x-9= -6


3x= -6+9


3x=3


x=1

Answer 2

for
|a|=b
assume
a=b and a=-b

so

-3|x-3|=-6
divide both sides by -3
|x-3|=2
assume
x-3=2 and x-3=-2
add 3 to both sides of both equations
x=5 and x=1


B is answer