Solve the equation. Choose the method you prefer to use.

b/11 - 8b/11 = 28/11

1 answer

To solve the equation b/11 - 8b/11 = 28/11, we can simplify the left-hand side by combining the fractions with a common denominator of 11:

(b - 8b)/11 = 28/11

To further simplify, we can combine like terms by subtracting b from 8b:

-7b/11 = 28/11

Now, we can isolate the variable b by multiplying both sides of the equation by 11:

11 * (-7b/11) = 11 * (28/11)

Simplifying further, the 11's cancel out on the left side:

-7b = 28

Finally, we can find the value of b by dividing both sides of the equation by -7:

(-7b)/(-7) = 28/(-7)

Simplifying further, the -7's cancel out on the left side:

b = -4

Therefore, the solution to the equation is b = -4.