Question

What is the solution of the equation 5/3−2x=1/6 ?(1 point) Responses 3/4 Start Fraction 3 over 4 End Fraction −11/3 negative Start Fraction 11 over 3 End Fraction −11/12 negative Start Fraction 11 over 12 End Fraction 3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the solution of the equation 5/3 - 2x = 1/6, we can follow these steps:

Step 1: Subtract 5/3 from both sides of the equation
5/3 - 5/3 - 2x = 1/6 - 5/3
-2x = 1/6 - 5/3

Step 2: Find a common denominator for 1/6 and 5/3, which is 6. Rewrite the fractions with the common denominator:
-2x = 1/6 - (5/3) * (2/2)
-2x = 1/6 - 10/6
-2x = (1 - 10)/6
-2x = -9/6

Step 3: Simplify the right side of the equation
-2x = -9/6
-2x = -3/2

Step 4: Divide both sides of the equation by -2
(-2x)/(-2) = (-3/2)/(-2)
x = 3/2

Therefore, the solution of the equation 5/3 - 2x = 1/6 is x = 3/2, which can be written as 1 1/2.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve the equation 5/3 - 2x = 1/6, we can follow these steps:

Step 1: Start by getting rid of the fraction by multiplying every term in the equation by the least common denominator (LCD), which is 6. This will help us eliminate the fractions.

6 * (5/3 - 2x) = 6 * (1/6)

Step 2: Simplify the equation by distributing the 6 to each term inside the parentheses.

(6 * 5/3) - (6 * 2x) = 6 * 1/6

Step 3: Evaluate the multiplication on both sides.

(30/3) - 12x = 1

Step 4: Simplify further.

10 - 12x = 1

Step 5: Move the constant term to the other side of the equation by subtracting 10 from both sides.

10 - 10 - 12x = 1 - 10

-12x = -9

Step 6: Divide both sides of the equation by -12 to isolate x.

-12x / -12 = -9 / -12

x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.

Answer 3

[AI-generated answer — Explain Bot]

To find the solution of the equation 5/3 - 2x = 1/6, we need to isolate the variable x.

Step 1: Let's begin by moving the constant term (1/6) to the other side of the equation. To do this, we subtract 1/6 from both sides:

5/3 - 2x - 1/6 = 1/6 - 1/6

Simplifying the equation, we have:

5/3 - 2x - 1/6 = 0

Step 2: Next, let's combine the fractions on the left side of the equation. To do this, we need a common denominator, which is 6:

(10/6 - 2x - 1/6) = 0

Simplifying further:

(9/6 - 2x) = 0

Step 3: Now, we can simplify the left side of the equation:

9/6 - 2x = 0

Since 9/6 and 2x have the same denominator, we can combine them:

9 - 12x = 0

Step 4: Finally, let's solve for x by isolating the variable:

-12x = -9

Dividing both sides by -12:

x = -9 / -12

Simplifying the expression:

x = 3/4

Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.