Question

What is the reason for each step in the solution of the equation -6 x 7 x 14 = 3? Match the reason with the correct step in the equation.

1) given
2) subtraction property of equality
3) combine like terms

Answer 1

The reasons for each step in the solution of the equation -6 x 7 x 14 = 3 are the multiplication property of equality, simplification of the algebraic expression, and checking the answer for reasonableness.

Step-by-step explanation:

1. The reason for -6 x 7 is the multiplication property of equality, which states that when multiplying two numbers, the result is obtained by multiplying the absolute values of the numbers and assigning the sign based on the rules for multiplying positive and negative numbers.
2. The reason for 7 x 14 is also the multiplication property of equality.
3. The reason for -6 x 7 x 14 = 3 is the simplification of the algebraic expression, which involves combining like terms. In this case, there are no like terms, so the result is simply 3.
4. The reason for checking the answer is to ensure that it is reasonable and makes sense in the context of the problem.