Exercise 6 Page 33

To solve the equation, we have to isolate x on one side. Using the Addition Property of Equality, we will add 23 to both sides of the equation. This will eliminate the subtraction and isolate x.

x - 2/3 = - 11/2

AddEqn

LHS+2/3=RHS+2/3

x - 2/3 + 2/3 = - 11/2 + 2/3

AddFrac

Add fractions

x = - 11/2 + 2/3

ExpandFrac

a/b=a * 3/b * 3

x = - 33/6 + 2/3

ExpandFrac

a/b=a * 2/b * 2

x = - 33/6 + 4/6

AddFrac

Add fractions

x = - 29/6

To check that this solution is correct, let's substitute x=- 296 into the original equation and simplify.

x - 2/3 = - 11/2

Substitute

x= - 29/6

- 29/6 - 2/3 ? = - 11/2

ExpandFrac

a/b=a * 2/b * 2

- 29/6 - 4/6 ? = - 11/2

SubFrac

Subtract fractions

- 33/6? = - 11/2

ReduceFrac

a/b=.a /3./.b /3.

- 11/2 = - 11/2 ✓

Since the left-hand side and right-hand side are equal, x=- 296 is the correct solution.