Solve the equation x+2, 1 over 3=5, 2 over 3 using inverse operations.

Answer 1

The equation is given as follows:
x + 2 + 1/3 = 5 + 2/3

To solve this, we need to isolate x. To do this, we will use inverse operations.

First, we can subtract 2 from both sides of the equation:
x + 2 - 2 + 1/3 = 5 + 2/3 - 2

This simplifies to:
x + 1/3 = 5 - 4/3

Next, we can simplify the right side of the equation:
x + 1/3 = 15/3 - 4/3
x + 1/3 = 11/3

To eliminate the fraction, we can multiply both sides of the equation by 3:
3(x + 1/3) = 3(11/3)
3x + 1 = 11

Now, we can isolate x by subtracting 1 from both sides of the equation:
3x + 1 - 1 = 11 - 1

This simplifies to:
3x = 10

Finally, we can solve for x by dividing both sides of the equation by 3:
3x/3 = 10/3
x = 10/3

Therefore, the solution to the equation is x = 10/3.