Question

Solve the absolute value equation.
│4x + 3│= 3
I forgot how to solve these o.o.....

Answer 1

4x - 3 = 3
4x = 6
x = 1.5. :-)

Answer 2

Oops! Oh my gosh. I saw a subtraction sign instead of addition. Just swap the signs and subtract instead of add! :(

Answer 3

My final review answer key sheet says the answer is
x = 0
x = - 3/2

How did they get these?

Answer 4

Oh my. It seems as though I may have actually forgotten how to do these simple equations. No worries! I shall do some quick research and come back with an answer!

Answer 5

Lol ok :)

Answer 6

|y|=a
y=a or y=-a

Answer 7

Split |4x+3|=3 into 4x+3=3 and 4x+3=-3 :D

Answer 8

You solve it like this:
│4x + 3│= 3
Therefore (4x + 3)^2 = 3^2
and so on.

Answer 9

Step 1) Isolate the absolute value;
4x + 3 = 3

Step 2) Write out two equations without bars;
4x + 3 = 3 & 4x + 3 = -3!

Step 3) Solve both equations;
4x + 3 = 3 ; 4x = 0 ; x = 0.
4x + 3 = -3; 4x = -6 ; x = -6 / 4 <--- Simplified = -3 / 2! :-)

Answer 10

@lncognlto I think that is not necessary?

Answer 11

@xuvaze Please do not use exclamation mark, as that confuses us.

Answer 12

And remember to check for extraneous (wrong) solutions after you've solved it :D

Answer 13

Possibly not, but that's how I learned to do it... I wasn't shown any other ways. xD

Answer 14

I wasn't trying to be confusing. I was only expressing my passion to solve this problem. haha.

Answer 15

@lncognlto I'd use the definition of absolute :D
|y|=a -> y=a or y=-a

Answer 16

@xuvaze lolz!!

Answer 17

Thanks everyone :)

Answer 18

no problem :)

Answer 19

Glad I could help! ^_^