solve for x
/x\-5=7
(slashes are straight up and down)
a. x=-12 or 12
b. x=12
c. x=-2 or 2
d. x=2
|x|-5 = 7
|x| = 12
So, I'd say (A)
You know, your keyboard has || characters...Look right above the \ character which you typed.
To solve the equation (/x\-5=7), you would need to isolate the variable x.
Here's how you can do it step by step:
1. Start by adding 5 to both sides of the equation to eliminate the -5 on the left side:
(/x\-5) + 5 = 7 + 5
This simplifies to:
/x\ = 12
2. Now, to isolate x, you need to get rid of the slashes. Since the slashes represent absolute value, we need to consider two cases:
Case 1: (x) ≥ 0
In this case, the absolute value of x will remain x.
/x\ = 12
Case 2: (x) < 0
In this case, the absolute value of x will be its negation, -x.
/-x\ = 12
3. To solve for x in each case, we can write two separate equations:
Case 1: (x) ≥ 0
x = 12
Case 2: (x) < 0
-x = 12
4. Solve for x in each case:
Case 1: (x) ≥ 0
No further actions are needed, as we already have the solution:
x = 12
Case 2: (x) < 0
To solve for -x, we can multiply both sides of the equation by -1:
-1 * -x = -1 * 12
x = -12
Therefore, the equation has two solutions:
- x = 12 (when x is greater than or equal to 0)
- x = -12 (when x is less than 0)