Solve 11b+6-2b+b=4b+5-3b-3-b for b.
10b+6= 2
___-6_-6
10b=-4
Book says answer is -2/5.
I do not see how the problems comes down to this answer.
11b+6-2b+b=4b+5-3b-3-b
10b + 6 = 2
10b = -4
b = -4 / 10
b = -2/5
When you divide a negative and a postive, the answer is negative. So -- negative 4 divided by positive 10 = -4/10 = -2/5
To solve the equation 11b + 6 - 2b + b = 4b + 5 - 3b - 3 -b for b, you need to simplify the equation by combining like terms on both sides.
Starting with the left side of the equation, you have:
11b + 6 - 2b + b
Combining like terms (b and -2b):
= 10b + 6
Next, simplify the right side of the equation:
4b + 5 - 3b - 3 - b
Combining like terms (b, -3b, and -b):
= 1b + 2
Now, the equation becomes:
10b + 6 = 1b + 2
To isolate the variable b, you need to move the terms containing b to one side of the equation. To do this, subtract 1b from both sides:
10b + 6 - 1b = 1b + 2 - 1b
Combining like terms:
= 9b + 6 = 2
Next, you want to move the constant term (6) to the other side of the equation. So, subtract 6 from both sides:
9b + 6 - 6 = 2 - 6
= 9b = -4
To solve for b, divide both sides of the equation by 9:
(9b)/9 = -4/9
Simplifying:
b = -4/9
So the correct answer for b is -4/9, not -2/5 as mentioned in the book.
It's possible that there was an error in the book, or there may have been a mistake in copying the problem. Double-checking your work and the original equation is always important to ensure accuracy.