Solve the equation. Choose the method you prefer to use.
b/11 - 8b/11 = 28/11
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.
To solve the equation (b/11) - (8b/11) = 28/11, we can use the method of combining like terms and isolating the variable.
Step 1: Combine the like terms on the left side of the equation:
b/11 - 8b/11 = (1-8)b/11 = -7b/11
So, the equation becomes: -7b/11 = 28/11
Step 2: Multiply both sides of the equation by 11 to eliminate the fraction:
11 * (-7b/11) = 11 * (28/11)
-7b = 28
Step 3: Solve for b:
Dividing both sides of the equation by -7, we get:
b = 28 / -7
b = -4
Therefore, the solution to the equation is b = -4.
To solve the equation (b/11) - (8b/11) = 28/11, we can simplify the equation by combining like terms and then isolate the variable b.
Step 1: Combine like terms
(b/11) - (8b/11) = 28/11
To combine the fractions with the same denominator, subtract the numerators.
(b - 8b)/11 = 28/11
Step 2: Simplify the equation
To simplify further, combine like terms by subtracting the coefficients of b.
(-7b)/11 = 28/11
Step 3: Isolate the variable
To isolate the variable b, we need to get rid of the fraction by multiplying both sides of the equation by the reciprocal of the fraction's coefficient (11/7).
(-7b)/11 * (11/7) = (28/11) * (11/7)
The 11 in the numerator and the 11 in the denominator will cancel out.
(-7b)/cancel(11) * (cancel(11)/7) = (28/cancel(11)) * (cancel(11)/7)
This leaves us with:
-7b/7 = 28/7
Step 4: Simplify further
Simplify each side of the equation by canceling out the common factors.
-b = 4
Step 5: Solve for b
To solve for b, multiply both sides of the equation by -1 to isolate the variable.
-b * (-1) = 4 * (-1)
This gives us:
b = -4
Therefore, the solution to the equation is b = -4.