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System of Linear Equations

System of consistent linear equations System of (linear) equations is said to be consistent if it has at least one solution. For example,
  1. System of equations 64875.png is inconsistent because it has no solution, i.e., there is no value of x and y which satisfy both the equations. Here, two straight lines are parallel.
  2. System of equations 64869.png is consistent because it has a solution x = 1, y = 1. Here lines intersect at one point.

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