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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 46 Page 42

Apply inverse operations to isolate a.

a=yb/y-xb

Practice makes perfect

To solve the given literal equation for a, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

y=x(ab/a-b)

Remove parentheses

y=x* ab/a-b

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a*b/c= a* b/c

y=xab/a-b

LHS * (a-b)=RHS* (a-b)

y(a-b)=xab

Distribute y

ya-yb=xab

LHS-xab=RHS-xab

ya-yb-xab=0

LHS+yb=RHS+yb

ya-xab=yb

Factor out a

a(y-xb)=yb

.LHS /(y-xb).=.RHS /(y-xb).

a=yb/y-xb

Subchapter links

Communicate Your Answer p.35

Monitoring Progress p.36-39

Exercises p.40-42