Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
5. Rewriting Equations and Formulas
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Exercise 29 Page 40

Apply inverse operations to isolate b_2.

b_2=2A/h-b_1

Practice makes perfect
To solve the given formula for b_2, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.
A=1/2h(b_1+b_2)
2A=2*1/2h(b_1+b_2)
2A=h(b_1+b_2)
2A/h=h(b_1+b_2)/h
2A/h=(b_1+b_2)/1
2A/h=(b_1+b_2)
2A/h=b_1+b_2
2A/h-b_1=b_2
b_2=2A/h-b_1