Exercise 67 Page 188

Practice makes perfect

a Rewriting any linear equation so that it can be entered into a graphing calculator requires us to isolate the y-variable. To do this, we will use the Properties of Equality to apply inverse operations on the equation.

5-(y-3)=3x

Distr

Distribute (-1)

5-y+3=3x

AddTerms

Add terms

8-y=3x

AddEqn

LHS+y=RHS+y

8=y+3x

SubEqn

LHS-3x=RHS-3x

-3x+8=y

RearrangeEqn

Rearrange equation

y=-3x+8

b Rewriting any linear equation so that it can be entered into a graphing calculator requires us to isolate the y-variable. To do this, we will use the Properties of Equality to apply inverse operations on the equation.

4(x+y)=-2

DivEqn

.LHS /4.=.RHS /4.

(x+y)=-2/4

MoveNegNumToFrac

Put minus sign in front of fraction

(x+y)=-2/4

ReduceFrac

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

(x+y)=-1/2

RemovePar

Remove parentheses