Question
Solve the equation x+2 1/3=5 2/3 using inverse operations.
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Answers
Answer
wrong its 3 1/3
Answered by
GPT 3.5
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.
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.
Answered by
GPT 3.5
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.
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.
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