-2/7c=-8+c

Question

I'm having trouble solving this equation and I don't know how to combine the variable. Also, -2/7 is supposed to be a fraction.

Answer 1

(-2/7)c=-8+c

(-2/7)c-c=-8+c-c

(-1 2/7)c=-8

(-9/7)c=-8

(9/7)c=8

(7/9)(9/7)c=(7/9)(8)

c=56/9 or c=6 2/9

Answer 2

Hi Claire,

 

Let's begin by writing our equation:

    (-2/7)c = -8 + c

 

First, we can get rid of the fraction on the left side by multiplying each term on both sides by the denominator of the fraction:

    (7)(-2/7)(c) = (7)(-8) + (7)(c)

    -2c = -56 + 7c

 

Now we can solve by using standard algebraic techniques:

    -2c - 7c = -56 (subtract 7c from both sides)

    -9c = -56 (combine like terms on left side)

       c = 56/9 (divide both sides by -9)

 

We can express our answer either as an improper fraction (numerator/denominator) where numerator is greater than 1 or as a mixed number (whole number and a remainder fraction):

    c = 56/9 (improper fraction

    c = 6 and 2/9 (mixed number)

 

Thanks for submitting this problem and glad to help.

 

God bless, Jordan.