SOLUTION: 1.Explain how you can determine if a system of equations will have no solution when comparing the graph of the equations. 2.Explain how you can determine if a system of equations

Question 1113419: 1.Explain how you can determine if a system of equations will have no solution when comparing the graph of the equations.
2.Explain how you can determine if a system of equations has no solution by comparing each algebraic equation.
Found 2 solutions by amalm06, ikleyn:
Answer by amalm06(224)   (Show Source): You can put this solution on YOUR website!
1. If the graph of the equations consists of parallel lines, since parallel lines never intersect. By "solution of system of equations", we mean the point at which the lines intersect. In the Euclidean plane, two lines will not intersect at more than one point.
2. Verify whether the lines are parallel. If two lines are parallel, then they have the same slope and different y-intercepts, e.g. y=8x+2 and y=8x+4
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.
Also look into the lesson
    - Geometric interpretation of a linear system of two equations in two unknowns
in this site.

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