Question
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the following equation algebraically. Show your work.
6=x+2/3
Solve the following equation algebraically. Show your work.
6=x+2/3
Answers
Answered by
GPT 3.5
To solve the equation algebraically, we need to isolate the variable x.
First, let's get rid of the fraction by multiplying both sides of the equation by the denominator, which is 3:
3 * 6 = 3 * (x + 2/3)
18 = 3x + 2
Next, let's isolate the term with x by subtracting 2 from both sides of the equation:
18 - 2 = 3x + 2 - 2
16 = 3x
To find the value of x, we need to divide both sides of the equation by 3:
16/3 = 3x/3
Simplifying the right side:
16/3 = x
Therefore, the value of x is 16/3.
First, let's get rid of the fraction by multiplying both sides of the equation by the denominator, which is 3:
3 * 6 = 3 * (x + 2/3)
18 = 3x + 2
Next, let's isolate the term with x by subtracting 2 from both sides of the equation:
18 - 2 = 3x + 2 - 2
16 = 3x
To find the value of x, we need to divide both sides of the equation by 3:
16/3 = 3x/3
Simplifying the right side:
16/3 = x
Therefore, the value of x is 16/3.