Question

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

Answer 1

wrong its 3 1/3

Answer 2

x+2 1/3=5 2/3

First, we need to get rid of the fraction by multiplying every term by 3 to get rid of the denominator:

3(x+2 1/3) = 3(5 2/3)
3x + 6 + 2 = 16 + 2/3

Next, we simplify the fractions:

3x + 6 + 2 = 16 + 2/3
3x + 8 = 16 + 2/3

Now, let's get rid of the constant on the right side by subtracting 16 from both sides:

3x + 8 - 16 = 16 + 2/3 - 16
3x - 8 = 2/3

Now, we need to get rid of the constant on the left side, so we subtract 8 from both sides:

3x - 8 - 8 = 2/3 - 8
3x - 16 = 2/3 - 24/3

Now, let's simplify the fraction on the right side:

3x - 16 = -22/3

Finally, we solve for x by isolating the variable:

3x = -22/3 + 16
3x = -22/3 + 48/3

Now, let's add the fractions:

3x = 26/3

To solve for x, we divide both sides by 3:

x = 26/3 ÷ 3
x = 26/3 × 1/3
x = 26/9

Therefore, the solution to the equation x+2 1/3=5 2/3 using inverse operations is x = 26/9.

Answer 3

Apologies for the mistake. Let's go through the steps again:

x + 2 1/3 = 5 2/3

We need to get rid of the fraction by multiplying every term by 3 to remove the denominator:

3(x + 2 1/3) = 3(5 2/3)
3x + (3)(2 1/3) = (3)(5 2/3)
3x + 6 + 2 = 15 + 2

Next, we simplify:

3x + 8 = 17

To isolate the variable, we subtract 8 from both sides:

3x + 8 - 8 = 17 - 8
3x = 9

Finally, we solve for x by dividing both sides by 3:

3x/3 = 9/3
x = 3

Therefore, the solution to the equation x + 2 1/3 = 5 2/3 using inverse operations is x = 3.