The solutions to the equation 5 = | 8 - x| is 3 and 13.
An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution.
For a new notepad, Georgia has allotted $8. She uses the formula 5 = |8 - x| to get the upper and lower bounds of her spending limit, which is $5.
Consider the equation,
5 = |8 – x|
When the Modulus is positive.
We have,
5 = |8 – x|
5 = 8 – x
Subtracting 8 from each side,
- x = - 3
x = 3
When the Modulus is negative.
We have,
5 = |8 – x|
5 = - ( 8 - x)
5 = - 8 + x
Adding 8 on each side of the equation,
x = 13
Therefore, the solution to the equation is 3 and 13.
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