Solve the following equation algebraically. Show your work.
6 = x+2/3 (fraction)
To solve the equation 6 = x + 2/3 algebraically, we need to isolate the variable x.
Starting with:
6 = x + 2/3
We want to isolate the x term, so we start by subtracting 2/3 from both sides:
6 - 2/3 = x + 2/3 - 2/3
Combining like terms, we have:
6 - 2/3 = x + 0
To subtract 2/3 from 6, we need them to have the same denominator. The denominator for 6 is 1, so we multiply 2/3 by 1 to get the same denominator:
6 - 2/3 = x
18/3 - 2/3 = x
Combining the terms on the left side:
16/3 = x
Therefore, the solution to the equation 6 = x + 2/3 is x = 16/3.
To solve the equation algebraically, we need to isolate the variable x on one side of the equation. Here are the steps to solve for x:
Step 1: Multiply both sides of the equation by 3 to eliminate the fraction:
3 * 6 = 3 * (x + 2/3)
18 = 3x + 2
Step 2: Subtract 2 from both sides of the equation to isolate the term with x:
18 - 2 = 3x + 2 - 2
16 = 3x
Step 3: Divide both sides of the equation by 3 to solve for x:
16/3 = 3x/3
16/3 = x
Therefore, x = 16/3.
To solve the equation algebraically, our goal is to isolate the variable "x" on one side of the equation. We can do this by performing a series of steps. Let's go through it step by step:
Step 1: Start with the given equation: 6 = x + 2/3
Step 2: To isolate the variable "x," we need to get rid of the term "2/3" on the right side of the equation. To do this, we subtract 2/3 from both sides of the equation:
6 - 2/3 = x + 2/3 - 2/3
Step 3: Simplify the right side of the equation:
6 - 2/3 = x + 0
Step 4: Simplify the left side of the equation:
(6 * 3/3) - 2/3 = x
(18/3) - 2/3 = x
(18 - 2)/3 = x
16/3 = x
Step 5: Simplify the fraction:
x = 16/3
Now, the equation is solved, and the value of "x" is 16/3.