# Algebra

posted by .

I'm not quite sure about these problems. I know how to do them, but it seems that I get the wrong answer. Maybe I'm supposed to get 'no solution' but I'm not sure. Could someone please help me with them?

5|6-5x|=15x-35
2|3x-7|=10x-8
1/4|4x+7|=8x+16

Ok for
5|6-5x|=15x-35
first simplify it by dividing both sides by 5
Then check the intervals where
6-5x>0 then where 6-5x<0.
In other words, find where the expression in the absolute values is 0 and divide the interval into two parts there. Since the other 2 problems are similar I'll walk through the first one.
You should get
|6-5x|=3x-7 when you divide the 5's out. Then we look where
6-5x=0 which is 6/5
When x>6/5 the LHS(left hand side) is +. Setting
6-5x=3x-7 means 8x=13 or x=13/8
However, the RHS is positive when
X>7/3 so there is no solution when x>6/5
If x<6/5 then |6-5x|=3x-7
-(6-5x)=3x-7 so
-6+5x=3x-7 , 2x=-1 and x=-1/2
Again, 3x-7>0 means x>7/3 so no solution here either.
You could also verify this by graphing too.
The LHS and RHS can sometimes be zero at the same time, so check the valuse that make them both 0 too. For this problem the LHS is 0 at 6/5 but the RHS isn't. Conclude no solution for this one.

• Algebra -

5x-6+-3x-7

• Algebra -

(-16)^-2/3

## Similar Questions

2. ### Algebra

Can someone check my algebra answers and help me with the problems I don't understand?
3. ### Algebra

I do not understand what I am supposed to do: The problems reads: Evaluate (assume x is not equal to 0). -10x^0 I did this though not sure about it, -10*x^0 -10*1 -10
4. ### Math...Algebra :S

Hi, okay um. I'm trying to get his math question (Algebra :o) and i'm not quite sure what i'm doing---but everything i do, i get the wrong answer. The Question is 2m+n M= 2/5 and n= 1/2 (Fractions) Everytime i do the question, i get …
5. ### math

Can someone please check my work? Solve using substitution method 1. 3x+2y=12 x=52-6y answer:-40.8 I am pretty sure that one is wrong. Solve using elimination method 2. 2r-7s=-31 7r+2s=24 answer: (230/53,-468/53) 3.3x+4y=3 6x+8y=6
6. ### Algebra S.O.S

I've been working on this a while, and I thought I got it right...until I got to step two. When I tried "veryfying my solution point" The lines didn't intersect at (4,2). I don't know, it's probably a silly little mistake on my part, …
7. ### Chemistry

What volume of solution do you have if you know you dissolved 0.0500g nitric acid to make solution that was determined to be 0.0793M (molarity). My teacher gave 10.0 mL as the answer, but I got .0098. Not quite sure where I went wrong.