Exercise 6 Page 388

We will solve the equation by isolating t on one side. We can use the Multiplication Property of Equality to multiply both sides of the equation by 12. This will eliminate the division and isolate t. Let's do it!

t/12 = 4

MultEqn

LHS * 12=RHS* 12

12 * t/12 = 12 * 4

NumberToDenomMultFrac

a = 12 * a/12

t = 12 * 4

Multiply

Multiply

t = 48

Now we want to check our answer and make sure our solution is correct. Let's substitute t=48 into the original equation and simplify.

t/12 = 4

Substitute

t= 48

48/12 ? = 4

CalcQuot

Calculate quotient

4=4 ✓

Since the left-hand side and right-hand side are equal, t=48 is the correct solution.

Extra

Properties of Equality

There are four main Properties of Equality that we use when solving linear equations.

Properties of Equality
Addition Property of Equality	If a=b, then a+c=b+c.
Subtraction Property of Equality	If a=b, then a-c=b-c.
Multiplication Property of Equality	If a=b, then ac=bc.
Division Property of Equality	If a=b and c is not 0, then ac= bc.