if a system of equations has more equations than variables, can it have a solution?

Question:

if a system of equations has more equations than variables, can it have a solution?

System of Equations:

The system of equation will n variables will require n number of equations to get the solution of all the variables. The value of the variable can be finite or infinite though. A consistent system is an example.

Answer and Explanation:


Now, if a system of equations has more equations than variables, then also we will be able to find the solution of all the variables, given the condition that the solution exists.


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Inconsistent System of Equations: Definition & Example

from High School Algebra II: Homework Help Resource

Chapter 8 / Lesson 9
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