Equivalence criteria of systems of equations

In this video I will explain what are the equivalence criteria of the systems of equations. Two systems are said to be equivalent when they have the same set of solutions.

The equivalence criteria of systems of equations are as follows:

• If we add or subtract the same expression to the two members of an equation in a system, we will obtain an equivalent fraction.
• If we multiply or divide the two members of a system of equations by a number other than zero, we will also obtain an equivalent system of equations.
• If we add or subtract an equation from a system of equations to an equation from the same system, we will obtain an equivalent equation.
• If in a system of equations we substitute one equation for another that is obtained by adding the two equations of the system previously multiplied or divided by non-zero numbers, results in another system equivalent to the first one.
• If we change the order of the equations or the unknowns in a system of equations, we will obtain another equivalent system.

In the video I explain all these equivalence criteria better. Also, if you want to check that you have understood the equivalence criteria of systems of equations you can do the printable exercises with their solutions that I have left you on the web.

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