4. Using Random Samples to Compare Populations
Exercise 5 Page 347
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Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.
z=2/3
To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality. In this case, we can can start by using the Addition Property of Equality.
LHS+2=RHS+2
Add terms
Rearrange equation
.LHS /9.=.RHS /9.
Calculate quotient
a/b=.a /3./.b /3.
The solution to the equation is z= 23. We can check our solution by substituting it into the original equation.
z= 2/3
a*b/c= a* b/c
Calculate quotient
Subtract term
Our solution is correct because the left-hand side is equal to the right-hand side.