3-2/9b=1/3b-7
What does b equal?
Please show all work
3-2/9b=1/3b-7
3 -2/9b = 1/3b -7
3+7 -2/9b = 1/3b -7 +7
10 -2/9b = 1/3b
10-2/9b +2/9b = 1/3b +2/9b
10 = (3+2)/9b
10 = 5/9b
Multiply both by 9b
10(9b) = 9b(5/9b)
90b = 5
Solve for b
90b/90 = 5/90
b = 1/18
3-2/9b=1/3b-7
3 - 2/9b = 3/9b - 7
10 = 5/9b
10/(5/9) = b
To solve this equation for b, we need to simplify both sides and isolate the variable b. Let's go step by step:
Step 1: Simplify the equation.
First, let's simplify the left side of the equation:
3 - (2/9)b = 1/3b - 7
Now, let's simplify the right side of the equation:
1/3b - 7
Step 2: Get rid of fractions.
To eliminate the fractions, we can multiply all terms by the least common denominator (LCD) of all the fractions involved. In this case, the LCD is 9.
Multiplying the left side of the equation by 9:
9(3 - (2/9)b) = 9(1/3b - 7)
27 - 2b = 3b - 63
Step 3: Isolate the variable.
Let's group all the terms with the variable b on one side of the equation and the constant terms on the other side.
Move the -2b term to the right side:
27 = 3b - 2b - 63
Combine like terms:
27 = b - 63
Add 63 to both sides of the equation:
27 + 63 = b - 63 + 63
90 = b
Step 4: Final answer.
Therefore, the value of b is 90.