It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.
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A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane
A system of equations is a set of equations with more than one variable dealing with the same material. If there are 2 variables, then the system must have 2 equations before it can be solved. 3 variables need 3 equations, etc.
The idea is to work with the same variables, but it is possible that some of the variables are missing in some of the equations.
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Equivalent equations are equations that have the same solution set.