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anonymous
 5 years ago
How will I know when an equation has infinitely many solutions?
anonymous
 5 years ago
How will I know when an equation has infinitely many solutions?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0when the equations are equal to eachother.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I would I explain that in 30 words?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0For the linear equation, \[y =mx+b\] , you have parallel lines if the slopes, m, are the same and the yintercepts, b, are different. These parallel lines will lie on top of each other, creating an intersection for every value of x, when the slopes and yintercepts are the same.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, I understand that. now the next part that I do not understand and know how to explain is when the equation has no solution?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0When the lines are parallel they will never touch. They will be spaced from eachother by a set distance from infinity to infinity.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I am not sure that I understand what that means? can you clarify?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Imagine two lines with the same slope. Imagine that one of them crosses the yaxis at 1, and the other at 2. Although these lines have the same slope and point in the same direction, they will never touch. They will never Intersect each other. You get solutions when the graphs of your functions intersect. These intersections are solutions because the coordinates for each intersection are values that exist for each function simultaneously.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Here, look at this. http://www.wolframalpha.com/input/?i=graph+y%3D2x%2B2+and+y%3D2x%2B1
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