When does a system have no solutions

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Number of solutions to system of equations review

there is no solution when the matrix is inconsistent. This means you will have a zero row in your reduced matrix corresponding to a non-zero entry of the desired solution eg. [

One Solution, No Solution, or Infinitely Many Solutions

A system has no solutions if two equations are parallel. Let's take a look at an example. When two equations have the same slope but different y-axis, they are parallel.

Clarify math equations

To solve a math problem, you need to first clarify what the problem is asking.

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