Question

How would I find the solutions to the equation
|4x-6|-1=9?

Answer 1

| | Means the signs of the numbers are to be changed

Answer 2

yea the absolute value signs

Answer 3

-4x+6-1=9

Answer 4

I initially solved the problem and got x=1 and x= 1/2 but those were incorrect

Answer 5

alright

Answer 6

-4x+6-1=9
solve for x

Answer 7

the equation this time got me x=-1 and that's one of the correct answers, so I need to solve for the other

Answer 8

That is correct

Answer 9

the second one got me x=1 which is incorrect

Answer 10

Daniel's approach is fine for half the problem, but there's another half.

How would I find the solutions to the equation
|4x-6|-1=9?

this equation can and should be broken up into two parts:
Part 1 is Daniel's: +(4x-6) - 1 = 9
Part 2 is -(4x-7) -1 = 9

Answer 11

Solve each of these two linear equations, separately. Check each answer in the original equation.

Answer 12

I'm talking about the second part of the equation

Answer 13

@mathmale I still got an incorrect answer

Answer 14

it says one of the answers should be x=4, but I'm unsure how to get that answer

Answer 15

what was your second equation

Answer 16

well to solve this type of equation, you have to split it into two parts I'm not sure how I have to split it, but you gave me the first type, -4x+6-1=9

Answer 17

i think x is 1

Answer 18

I found out how to do it.
1. You have to isolate the absolute value sign
2. THEN you create the two problems
3. solve the 2 problems
4. then substitute to ensure that you have no extraneous solutions

Answer 19

thank you for your help @Daniel56k and @mathmale

Answer 20

can i see the solution

Answer 21

|4x-6|-1=9
add 1 to both sides to isolate the absolute value equation

|4x-6|=10
then remove the signs

4x-6=10
solve this equation first

4x=16
Divide

x=4


4x-6=-10
Create the next problem

4x=-4
Add six to both sides

x=-1
Divide

Answer 22

Wow that is brilliant

Answer 23

Thanks for your perseverance!