help with math?

Question

|-2x - 5.75| = 13.25

My teacher tells me theres 2 answers to this, but I can only find one.

I got -9.5.

Is that right?

And

Whats the other answer and how do you find it?

Answer 1

If |x| = 13.25, then x = 13.25 or -13.25 -- thats the definition of || (absolute value).

Thus, -2x - 5.75 = 13.25, which gives you x = -9.5, or -2x - 5.75 = -13.25, which gives you x = 3.75.

Answer 2

Remember, the absolute value sign takes a negative number and makes it positive, and takes a positive number and leaves it positive. So, from your equation:

-2x-5.75=13.25 and -2x-5.75=-13.25

Solve each equation for x:

-2x=19 and -2x=-7.5
x=-9.5 and x=3.75

Plug each back in to test if they are correct.

Answer 3

|-2x - 5.75| = 13.25

there's two possibility for this question,
the function inside the absolute sign can either be positive or negative.

using positive result

-2x - 5.75 = 13.25
-2x = 19
x = -9.5

using negative

-(-2x - 5.75) = 13.25
2x + 5.75 = 13.25
2x = 7.5
x = 3.75


therfore the two possible answers are

3.75 and
-9.5


that's it
i'm sure

Answer 4

I just everybody elses answers and the correct ones are x=-9.5 and x=3.75 so i belive the first person is correct. Plug in the answers for x to see if the answer is correct. :)

Answer 5

∣- 12x - 5.75∣= 13.25

- 2x - 5.75 = 13.25

- 2x - 5.75 + 5.75 = 13.25 + 5.75

-2x = 19

- 2x/-2 = 19/- 2

x = - 9.5

The answer is x = - 9.5

Insert the x value into the equation.
- - - - - - - - - - - - - -- - - - - - - - -

Check

∣- 2x - 5.75∣ = 13.25

- 2x - 5.75 = 13.25

- 2(-9.5) - 5.75 = 13.25

19 - 5.75 = 13.25

13.25 = 13.25

- - - - - - - -

Your solution is correct

- - - - -s-

Answer 6

l -2 x - 5.75l = 13.25

-13.25 < -2x - 5.75 < +13.25
-13.25 + 5.75 < -2x < +13.25 + 5.75
-7.5 < -2x < 19
-3.75 < x < -9.5

Therefore, it means that X lies between -3.75 and -9.5

Answer 7

x=-9.5 if x=<-2.875
x=3.75 if x>2.875
seems like everyone's the right answer