Exercise 3 Page 128

To solve the equation, we have to isolate x on one side. Using the Addition Property of Equality, we will add 56 to both sides of the equation. This will eliminate the subtraction and isolate x.

x - 5/6 = - 1/6

AddEqn

LHS+5/6=RHS+5/6

x - 5/6 + 5/6 = - 1/6 + 5/6

MoveNegFracToNum

Put minus sign in numerator

x - 5/6 + 5/6 = - 1/6 + 5/6

AddFrac

Add fractions

x = - 1 + 5/6

AddTerms

Add terms

x = 4/6

ReduceFrac

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

x = 2/3

To check that this solution is correct, let's substitute x= 23 into the original equation and simplify.

x - 5/6 = - 1/6

Substitute

x= 2/3

2/3 - 5/6? =- 1/6

ExpandFrac

a/b=a * 2/b * 2

4/6 - 5/6 ? =- 1/6

SubFrac

Subtract fractions

- 1/6 = - 1/6 ✓

Since the left-hand side and right-hand side are equal, x= 23 is the correct solution.