Solve y= 5/8b+10 for b
Y = 5b/8 + 10,
5b/8 = y - 10,
Multiply both sides by 8/5:
b = 8y/5 -8*10/5,
b = 8y/5 - 16.
b = 8(y/5 - 2).
To solve the equation y = (5/8)b + 10 for b, we need to isolate b on one side of the equation. Here's how you can do it step by step:
1. Start with the equation: y = (5/8)b + 10
2. Subtract 10 from both sides of the equation to get rid of the constant term: y - 10 = (5/8)b
3. Now, we want to isolate b. To do that, we need to get rid of the fraction (5/8). Multiply both sides of the equation by the reciprocal of (5/8), which is (8/5): (8/5)(y - 10) = [(8/5)(5/8)]b
Simplify this step: (8/5)(y - 10) = b
4. Simplify the left side of the equation: b = (8/5)(y - 10)
So the equation y = (5/8)b + 10 can be rewritten as b = (8/5)(y - 10).
Therefore, the solution for b in terms of y is b = (8/5)(y - 10).