SOLUTION: Write three equations such that they form a system of equations with y = 5x - 3. The systems should have no, one, and infinitely many solutions, repectively. Thanks in advance

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Write three equations such that they form a system of equations with y = 5x - 3. The systems should have no, one, and infinitely many solutions, repectively. Thanks in advance      Log On


   

Question 1014731: Write three equations such that they form a system of equations with y = 5x - 3. The systems should have no, one, and infinitely many solutions, repectively.
Thanks in advance
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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y=5x-3 (red line on all graphs
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ANSWER 1: No solutions - example: parallel line: y=5x+6
(green line on GRAPH 1)
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GRAPH 1:
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+graph%28+800%2C+800%2C+-10%2C+10%2C+-10%2C+10%2C+5x-3%2C+5x%2B6%29+
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ANSWER 2: One solution - example: perpendicular line: y=(-1/5)x-3
(green line on GRAPH 2)
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GRAPH 2:
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+graph%28+800%2C+800%2C+-10%2C+10%2C+-10%2C+10%2C+5x-3%2C+%28-1%2F5%29x-3%29+
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ANSWER 3: Infinite solutions - example: same line: 2y=10x-6
(green line on GRAPH 3 - red and green lines overlap)
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GRAPH 3:
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+graph%28+800%2C+800%2C+-10%2C+10%2C+-10%2C+10%2C+5x-3%2C+5x-3%29+
.