Question

5) Practice: Organizing Information

Fill in the blanks.
The first step in solving this system of linear equations is to multiply both sides of the bottom equation by 2.

5x + 2y = 14
3x – y = 4


This works because of the__________________________.
The next step is to add the two equations together.


5x+2y=14
+ 6x-2y=8
11x=22



This works because of the__________________________.

Answer 1

Answer: Distributive Property!

Explanation:

The answer is the Distributive Property. The Distributive Property states that for any numbers a, b, and c, a(b + c) = ab + ac. In this case, the Distributive Property is being applied to the equations, so 2(3x - y) = 6x - 2y. This allows us to add the two equations together.