Question

C = - 2/3 and x = 4/7
c - 2x

Answer 1

`-(38)/(21)`

Explanation:

1. The problem already provides the values of the variables, so let's identify them:

• 
  `c=-2/3`
• 
  `x=4/7`

2. Plug in the given values into the equation of
`c-2x`.

• 
  `-2/3-2(4/7)`

3. Multiply -2 and 4/7 to get -8/7.

• Multiply:
  `-2/3-2(4/7)=-2/3-8/7`

4. Make the denominators of the fractions equal to one another so it's easier to subtract.

• Find the least common denominator of 7 and 3: 21.
• Identify what number would have to be multiplied by each of the denominators to get them to equal 21 (3 must be multiplied by 7, 7 must be multiplied by 3).
• Multiply the numerator by the same number that the denominator was multiplied by (because 3 is being multiplied by 7, we multiply it's numerator (2) by 7 as well; because 7 is being multiplied by 3, we multiply it's numerator (8) by 3 as well).

• 
  `-2/3-8/7=-(2)/(3) -(8)/(7)=-(2*7)/(3*7) -(8*3)/(7*3)=-(14)/(21) -(24)/(21)`

5. Subtract the fractions.

• 
  `-(14)/(21) -(24)/(21)=-(38)/(21)`

Answer 2

the value of c - 2x when c = - 2/3 and x = 4/7 is - 38/21.

Explanation:

It seems like you are trying to evaluate the expression c - 2x when c = - 2/3 and x = 4/7. I can help you with that.

First, we need to substitute the values of c and x into the expression. We get:

c - 2x = (- 2/3) - 2(4/7)

Next, we need to simplify the expression by using the order of operations. We start with the parentheses and multiply 2 by 4/7. We get:

c - 2x = (- 2/3) - (8/7)

Then, we need to find a common denominator for the fractions so that we can subtract them. The least common multiple of 3 and 7 is 21, so we multiply both the numerator and denominator of each fraction by the appropriate factor. We get:

c - 2x = (- 14/21) - (24/21)

Finally, we subtract the fractions by subtracting the numerators and keeping the denominator. We get:

c - 2x = (- 38/21)

Therefore, the value of c - 2x when c = - 2/3 and x = 4/7 is - 38/21.