Fill in the blanks.

Question

Stephen
DCO
5x + 2y=14
3x-y=4
The first step in solving this system of linear equations is to multiply both sides of the bottom equation by 2.
This works because of the choose your answer...
The next step is to add the two equations together.
5x + 2y = 14
+ 62e -2y = 8
11x = 22
This works because of the choose your answer...

Answer 1

Let's fill in the blanks step by step based on the context provided.

1. The first step in solving this system of linear equations is to multiply both sides of the bottom equation by 2. This works because of the distributive property.

   The distributive property states that a(b + c) = ab + ac, allowing you to multiply both sides of the equation by the same number without changing the equality.

2. The next step is to add the two equations together.

   • 5x + 2y = 14
   • 6x - 2y = 8

   This works because of the properties of equality.

   This states that if two equations are equal to the same value, you can add them together while maintaining equality. In this case, adding the equations helps eliminate the variable y.

So, the completed statement would be:

Stephen DCO 5x + 2y=14 3x-y=4 The first step in solving this system of linear equations is to multiply both sides of the bottom equation by 2. This works because of the distributive property. The next step is to add the two equations together. 5x + 2y = 14

• 6x - 2y = 8 11x = 22 This works because of the properties of equality.

Answer 2

Wait but can u fill in the blanks?

Answer 3

Sure! Here’s how to fill in the blanks directly:

Stephen
DCO
5x + 2y = 14
3x - y = 4
The first step in solving this system of linear equations is to multiply both sides of the bottom equation by 2. This works because of the distributive property.
The next step is to add the two equations together.
5x + 2y = 14

• 6x - 2y = 8
  11x = 22
  This works because of the properties of equality.

Let me know if you need any further assistance!

Answer 4

This is the options:
addition property of equality
multiplication property of equality

Answer 5

Based on the options you've provided, here's how to fill in the blanks with the correct choices:

1. The first step in solving this system of linear equations is to multiply both sides of the bottom equation by 2. This works because of the multiplication property of equality.
2. The next step is to add the two equations together.
   5x + 2y = 14
   • 6x - 2y = 8
     11x = 22
     This works because of the addition property of equality.

So the completed statements should be:

Stephen
DCO
5x + 2y = 14
3x - y = 4
The first step in solving this system of linear equations is to multiply both sides of the bottom equation by 2. This works because of the multiplication property of equality. The next step is to add the two equations together.
5x + 2y = 14

• 6x - 2y = 8
  11x = 22
  This works because of the addition property of equality.