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
To solve the equation 6 = x + 2/3, we can start by subtracting 2/3 from both sides:
6 - 2/3 = x + 2/3 - 2/3
Simplifying the left side:
18/3 - 2/3 = x
Combining the fractions:
16/3 = x
Therefore, the solution to the equation is x = 16/3.
To solve the equation algebraically, we need to isolate the variable x.
Given equation: 6 = x + 2/3
Step 1: Subtract 2/3 from both sides of the equation to eliminate the 2/3 term on the right side:
6 - 2/3 = x + 2/3 - 2/3
5 2/3 = x
So the solution to the equation 6 = x + 2/3 is x = 5 2/3.
To solve the equation algebraically, we need to isolate the variable 'x' on one side of the equation. Here are the steps to solve the equation:
1. Start with the given equation: 6 = x + 2/3.
2. To eliminate the fraction, we can multiply both sides of the equation by the denominator of the fraction which is 3.
6 * 3 = (x + 2/3) * 3.
Simplifying both sides gives us:
18 = 3x + 2.
3. Now, we need to isolate the variable 'x'. To do this, we can subtract 2 from both sides of the equation:
18 - 2 = 3x + 2 - 2.
Simplifying further,
16 = 3x.
4. Finally, we can divide both sides of the equation by 3 to solve for 'x':
16/3 = 3x/3.
This gives us:
x = 16/3.
Thus, the solution to the equation 6 = x + 2/3 is x = 16/3.