|a| − = − (1 point) Responses or – Image with alt text: one-eighth or – Image with alt text: one-eighth or – Image with alt text: seven-eighths or – Image with alt text: seven-eighths 1 or –1 1 Image with alt text: three-eighths or –1 Image with alt text: three-eighths no solution no solution
The correct answer is "no solution".
To clarify, are you asking for the solution to the equation:
|a| − ___ = ___ ?
To solve the equation |a| - 1/8 = -7/8, we need to isolate the absolute value term |a|.
Step 1: Add 1/8 to both sides of the equation: |a| = -7/8 + 1/8.
Simplifying, we get |a| = -6/8.
Step 2: Simplify the right side expression further: -6/8 can be simplified to -3/4.
So, the equation becomes |a| = -3/4.
Now, when solving an equation involving an absolute value, we consider two cases:
Case 1: a is positive or zero.
In this case, the absolute value of a is the same as the value of a itself. So we can rewrite the equation as a = -3/4.
Case 2: a is negative.
In this case, the absolute value of a is the negative of the value of a. So we can rewrite the equation as -a = -3/4. To solve for a, we multiply both sides by -1 and get a = 3/4.
So, the two solutions to the equation |a| - 1/8 = -7/8 are a = -3/4 and a = 3/4.