Question

what is the solution of the equation 5/3 - 2x = 1/6?
responses

-11/3

3/4

3

-11/12

Answer 1

what is the solution of the equation 0.2x - 2.15 = -8.27

Answer 2

To solve the equation 5/3 - 2x = 1/6, we can start by isolating the variable, x, on one side of the equation.

First, let's subtract 5/3 from both sides:

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

This simplifies to:

-2x = 1/6 - 5/3

The next step is to find a common denominator for 1/6 and 5/3, which is 6. Therefore, we need to express 1/6 and 5/3 with a common denominator of 6:

-2x = 1/6 - 10/6

Now, we can combine the fractions:

-2x = (1 - 10)/6

Simplifying further:

-2x = -9/6

The next step is to divide both sides by -2:

(-2x)/-2 = (-9/6)/-2

This gives us:

x = 9/12

To simplify further, we can divide both the numerator and denominator of 9/12 by their greatest common divisor, which is 3:

x = 9/12 = (9/3) / (12/3) = 3/4

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

Answer 3

To find the solution of the equation 0.2x - 2.15 = -8.27, we can follow these steps:

Step 1: Start by isolating the variable x by adding 2.15 to both sides of the equation:
0.2x - 2.15 + 2.15 = -8.27 + 2.15
0.2x = -6.12

Step 2: To further isolate x, divide both sides of the equation by 0.2:
(0.2x) / 0.2 = (-6.12) / 0.2
x = -30.6

Therefore, the solution of the equation 0.2x - 2.15 = -8.27 is x = -30.6.