Exercise 42 Page 92

To solve an equation, we should first gather all of the variable terms on one side of the equation and all of the constant terms on the other side using the Properties of Equality. In this case, we need to eliminate the fraction by multiplying both sides by 3 in order to isolate the variable term. Now, we can simplify the right-hand side of the equation.

x=- 3* 9/2+3

▼

Evaluate

Multiply

Multiply

x=- 27/2+3

NumberToFrac

a = 2* a/2

x=- 27/2+2(3)/2

Multiply

Multiply

x=- 27/2+6/2

MoveNegFracToNum

Put minus sign in numerator

x=- 27/2+6/2

AddFrac

Add fractions

x=- 27+6/2

AddTerms

Add terms

x=- 21/2

The solution to the equation is x= - 212. We can check our solution by substituting it into the original equation.

x-3/3=- 4 12

Substitute

x= - 21/2

- 212-3/3 ? = - 4 12

▼

Evaluate

MixedToFrac

a bc=a* c+b/c

- 212-3/3 ? = - 4* 2 + 1/2

NumberToFrac

a = 2* a/2

- 212- 2(3)2/3 ? = - 4* 2 + 1/2

Multiply

Multiply

- 212- 62/3 ? = - 8 + 1/2

AddTerms

Add terms

- 212- 62/3 ? = - 9/2

MoveNegFracToNum

Put minus sign in numerator

- 212- 62/3 ? = - 9/2

SubFrac

Subtract fractions

- 21-62/3 ? = - 9/2

SubTerms

Subtract terms

- 272/3 ? = - 9/2

DivFracD

a/c/b= a/b* c

- 27/3(2) ? = - 9/2

ExpandFrac

a/b=a * 3/b * 3

- 27/3(2) ? = - 9(3)/2(3)

Multiply

Multiply

- 27/6 = - 27/6

Since the left-hand side is equal to the right-hand side, our solution is correct.