Solve 3 |2d-9| - 10 =3
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
3 | 2d - 9 | - 10 = 3
Solve.
Solution:
In order to solve the equation, we start first by taking the absolute value of the numbers. The absolute value of any number simply refers to its positive value, hence this means that the absolute value of a negative number is equal to its positive value.
3 | 2d - 9 | - 10 = 3
3 ( 2d + 9) - 10 = 3
6d + 27 - 10 = 3
6d - 17 = 3
Transpose -17 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
6d = 3 + 17
6d = 20
Divide both sides of the equation by 6 in order to determine the value of d.
6d/6 = 20/6
d = 3.3333…
Since we have a repeating decimal, we can either designate it with a repeating sign enclosed with a parenthesis, a dash line or an ellipsis. In our case, we'll use the ellipsis.
Final answer:
d = 3.3333…