Exercise 14 Page 8

Use the Subtraction Property of Equality.

t=4, see solution.

Practice makes perfect

To solve the given equation for t, we first need to rewrite the subtraction of the negative term as an addition.

t-(- 5)=9

a-(- b)=a+b

t+5=9

Now, we will subtract 5 from both sides of the equation to isolate t. We want to subtract 5 because addition and subtraction are inverse operations — they cancel each other out. This is allowed by the Subtraction Property of Equality.

t+5=9

SubEqn

LHS-5=RHS-5

t+5-5=9-5

SubTerms

Subtract terms

t=4

We will check our solution by substituting this result back into the original equation and simplifying. If doing so results in an identity, our solution is correct.

t-(- 5)=9

Substitute

t= 4

4-(- 5)? =9

SubNeg

a-(- b)=a+b

4+5? =9

AddTerms

Add terms

9=9 ✓

Since substituting t=4 resulted in an identity, our solution is correct.