Asked by Anonymous
A linear system may have a unique solution, no solution, or infinitely many solutions. Indicate the type of the system for th following examples by U , N , or I , respectively.
1. 2x+3y=5 4x+6y=10
2. 2x+3y=5 2x+4y=6
3. 2x+3y=5 2x+3y=6
1. 2x+3y=5 4x+6y=10
2. 2x+3y=5 2x+4y=6
3. 2x+3y=5 2x+3y=6
Answers
Answered by
drwls
1. One equation is twice the other, but represents the same line. There are an infinite number of (x,y) combinations that satisfy it.
2. Those lines intercept at a point, for one solution.
3. Both equations cannot be true. Those are the equations of parallel lines
2. Those lines intercept at a point, for one solution.
3. Both equations cannot be true. Those are the equations of parallel lines
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