SOLUTION: I need help, I have a few of questions!!! 1. Solve the equation: 3|x-5|=12 A. {9} B. {1} C. {1,9} D. null set 2. Solve the equations: 3(5x-1)=3x+3 A. 1/2 B. 2

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I need help, I have a few of questions!!! 1. Solve the equation: 3|x-5|=12 A. {9} B. {1} C. {1,9} D. null set 2. Solve the equations: 3(5x-1)=3x+3 A. 1/2 B. 2       Log On


   

Question 338656: I need help, I have a few of questions!!!
1. Solve the equation: 3|x-5|=12
A. {9}
B. {1}
C. {1,9}
D. null set
2. Solve the equations: 3(5x-1)=3x+3
A. 1/2
B. 2
C. -2
D. -1/2
3. Solve the equation: |y-8|+6=15
A. {17}
B. {-1}
C. {17,1}
D. null set
Thank you so, so much!!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one to get you started. Please only post one problem at a time.

3%2Aabs%28x-5%29=12 Start with the given equation


abs%28x-5%29=4 Divide both sides by 3



Break up the absolute value (remember, if you have abs%28x%29=a, then x=-a or x=a)

x-5=-4 or x-5=4 Set the expression x-5 equal to the original value 4 and it's opposite -4




Now lets focus on the first equation x-5=-4


x=-4%2B5Add 5 to both sides


x=1 Combine like terms on the right side






Now lets focus on the second equation x-5=4



x=4%2B5Add 5 to both sides


x=9 Combine like terms on the right side





So the solutions to 3%2Aabs%28x-5%29=12 are:

x=1 or x=9


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website.

Jim