Question

1. Consider the following system of linear equations.

Answer 1

Using the multiplication property, we have the following equivalent system of linear equations:

• 4/9x + 4/3y = 20/12  
• 2/3x - 4/3y = 5/3

What is an Equivalent System of Linear Equations?

• Systems that are equivalent will have the same solution.
• Creating equivalent system helps us to find the variables in a system of equations.

Given:

1/3x + y = 5/4 ---> Equation 1

2/3x - 4/3y = 5/3 ---> Equation 2

To create an equivalent system, multiply equation 1 by 4/3, and multiply equation 2 by 1.

Thus, using the multiplication property, we have the following equivalent system of linear equations:

• 4/9x + 4/3y = 20/12  
• 2/3x - 4/3y = 5/3

Learn more about equivalent system of linear equations on:

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