Question

Given: m Prove: x = 15 What is the missing statement and the missing reason in step 5? A. Statement: 60 = 3x + 15; Reason: substitution
B. Statement: x = 15; Reason: subtraction property of equality
C. Statement: 60 = 3x + 15; Reason: transitive property
D. Statement: x = 15; Reason: subtraction and division properties of equality

Answer 1

The answer would be option A "Statement: 60 = 3x + 15; Reason: substitution." Remember that substitution means replacing something with something else. In this case you would be replacing variables separating the term and the variable in two different equations to get your answer.

$3x = 3 + \frac{3}{2}$

$3x = x + \frac{x}{2}$

Therefore your answer is indeed option A.

Hope this helps.