Case 1: One solution. The graph of this type of system of linear equations will have two lines that intersect at a single point. The coordinates of the single point are the solution.
Case 2: No solutions. The graph of this type of system of linear equations will have two lines that are parallel. They do not intersect.
Case 3: An infinite number of solutions. The graph of this type of system of linear equations will have two lines that lie on top of each other. The coordinates of every point on one line will also be on the "second" line. This means the two equations are, in essence, the same equation.
Case 1: One solution. The graph of this type of system of linear equations will have two lines that intersect at a single point. The coordinates of the single point are the solution.
ReplyDeleteCase 2: No solutions. The graph of this type of system of linear equations will have two lines that are parallel. They do not intersect.
Case 3: An infinite number of solutions. The graph of this type of system of linear equations will have two lines that lie on top of each other. The coordinates of every point on one line will also be on the "second" line. This means the two equations are, in essence, the same equation.
written by someone else (:
Deleteunique solution/ intersecting lines.
ReplyDeleteinfinite solution set/coincident lines.
no solution/parallel lines
This comment has been removed by the author.
ReplyDelete1. Independent Equations
ReplyDelete2. Dependent Equations
3. Inconsistent Equations
unique solution (intersecting lines)
ReplyDeleteinfinite solution set (coincident lines)
no solution (parallel lines)
1. two lines that intersect at a single point
ReplyDelete2. two lines that are parallel.
3. two lines that lie on top of each other.
1. unique solution and intersecting lines.
ReplyDelete2. infinite solution set and coincident lines.
3. no solution and parallel lines
unique solutions
ReplyDeleteinfinite solution
no solution
1. no solution
ReplyDelete2. infinite solution
3. unique solutions
The Three Different type of solution are Substitution, Elimination/addition, Gaussian elimination.
ReplyDeleteunique solution, infinite solution set, no solution
ReplyDelete