Can someone explain to me how to solve
-14=2/5(9-2b)
It would be greatly appreciated
thank you
First multiply both sides by 5/2
-35 = 9-2b
Then subtract 9 from both sides and multiply both sides by -2.
You are supposed to divide both sides by -2. Sorry.
Certainly! To solve the equation -14 = (2/5)(9 - 2b), you'll need to isolate the variable, b. Here's how you can do it step by step:
1. Distribute the 2/5 to the terms inside the parentheses:
-14 = (2/5)(9) - (2/5)(2b)
Simplifying the right side gives:
-14 = 18/5 - (4/5)b
2. To eliminate fractions, multiply both sides of the equation by 5:
-14 * 5 = (18/5 - (4/5)b) * 5
This gives:
-70 = 18 - 4b
3. Next, isolate -4b by subtracting 18 from both sides of the equation:
-70 - 18 = -4b
-88 = -4b
4. Now, divide both sides of the equation by -4 to solve for b:
-88 / -4 = -4b / -4
This simplifies to:
22 = b
So, the solution to the equation is b = 22.