Question

I am not sure how to do this equation. HELP!!!
|x-1|=5x=10

Answer 1

correct the question pleae, there are 2 = signs .... :))

Answer 2

|x-1|=5x+10

Answer 3

@hartnn

Answer 4

when |a|= b
then
a=b or a=-b

so what about |x-1|=5x+10

Answer 5

How do I set it up?
x-1=5x+10 or x-1=5x-10

Answer 6

How do I set it up?
x-1=5x+10 or x-1=5x-10

Answer 7

@hartnn

Answer 8

oh, sorry for late replies ...
|x-1|=5x+10

---> x-1 = (5x+10) or x-1 = -(5x+10)
got this ?

Answer 9

@hartnn yes! Thank you for helping!

Answer 10

now can you solve those 2 equations separately ?
(thank me when you get the correct final answer by yourself :) )

Answer 11

x-1 = (5x+10)

x=... ?

Answer 12

x-1=(5x+10) or x-1=-(5x+10)
x-1=5x+10 x-1=-5x-10
+1 +1 +1 +1
x=5x+11 x=-5x-9
-5x -5x +5x +5x
-5x=11 6x=-9
x=-2.2 x=-1.5

Answer 13

x-1=(5x+10) or x-1=-(5x+10)
x-1=5x+10 x-1=-5x-10
+1 +1 +1 +1
x=5x+11 x=-5x-9
-5x -5x +5x +5x
-5x=11 6x=-9
x=-2.2 x=-1.5

Answer 14

oh wow! you are already good at this! :)
now last step is to verify whether these 2 are actually the solutions to original equations.

Answer 15

so put x= -2.2 in |x-1|=5x=10
does left side = right side ?

Answer 16

(-1.5)-1=5(-1.5)+10 (-2.2)-1+5(-2.2)+10
|-2.5|=2.5 yes |-3.2|=-1 no

Answer 17

@hartnn

Answer 18

oh, yes , you are very correct :)
so, the only solution is x = -1.5

Answer 19

@hartnn thank you very much! You have been a huge help with this question!

Answer 20

@hartnn thank you very much! You have been a huge help with this question!

Answer 21

hey, you are most welcome ^_^