Exercise 40 Page 113

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

A=(f+g/2)h

DivEqn

.LHS /h.=.RHS /h.

A/h=f+g/2

MultEqn

LHS * 2=RHS* 2

A/h* 2=f+g/2* 2

MoveRightFacToNum

a/c* b = a* b/c

2A/h=2(f+g)/2

ReduceFrac

a/b=.a /2./.b /2.

2A/h=f+g

SubEqn

LHS-f=RHS-f

2A/h-f=g

RearrangeEqn

Rearrange equation

g=2A/h-f