Identify the property that justifies the statement: If 4x - 3 = 7, then 4x = 10. -----> Is this substitution property?
The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
4x - 3 = 7
4x - 3 + 3 = 7 + 3
4x = 10
Answer:
No, it is not substitution property. Addition property of equality justifies the statement.
Step-by-step explanation:
The given statement: If
\(4x-3=7\) .... (1)
them
\(4x=10\) ... (2)
According to the Addition property of equality, if a,b and c are real number, then
\(a=b\Leftrightarrow a+c=b+c\)
Using Addition property of equality, add 3 on both sides in equation (1).
\(4x-3+3=7+3\)
\(4x=10\)
This equation is same as equation (2).
Therefore Addition property of equality justifies the statement.