Question

Why are we allowed to substitute 2x+6 with 9?

A) Because it simplifies the equation.
B) Because 9 is equal to 2x+6.
C) Because the context of the problem allows it.
D) Because 2x+6 and 9 have the same units.

Answer 1

When we substitute 2x+6 with 9, we are essentially replacing the expression 2x+6 with the constant value 9 in an equation or expression. This substitution can be done for several reasons: Because 9 is equal to 2x+6, because the context of the problem allows it, and because it simplifies the equation.

Step-by-step explanation:

When we substitute 2x+6 with 9, we are essentially replacing the expression 2x+6 with the constant value 9 in an equation or expression. This substitution can be done for several reasons:

1. B) Because 9 is equal to 2x+6: If the equation or expression states that 2x+6 is equal to 9, then we can substitute 2x+6 with 9. This is just a way to simplify the equation or expression.
2. C) Because the context of the problem allows it: In certain situations or problems, the value of 2x+6 might be given as 9. In these cases, we can replace 2x+6 with 9 to simplify the problem or equation.
3. A) Because it simplifies the equation: Substituting 2x+6 with 9 can make the equation or expression easier to work with, especially if we are trying to solve for x or simplify further.