SOLUTION: 1.Without graphing, determine whether each system has one solution, no solutions, or an infinite number of solutions. Show your work. (2 marks each)
( a ) 4 x – y = 5
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Question 320609: 1.Without graphing, determine whether each system has one solution, no solutions, or an infinite number of solutions. Show your work. (2 marks each)
( a ) 4 x – y = 5
y = 4 x + 6
( b )3x + 2y = 5
15x + 10y = 25
2. How can you tell by looking at an equation whether it has one, none or infinite solutions?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
One question per post, please.
If you have a system:
and the coefficients are such that:
and
but
then you have a system that is inconsistent, i.e., has no solutions. (parallel lines)
If the coefficients are such that:
and
and
then you have a system that is consistent and dependent, i.e. there are infinite solutions (the same line)
If the coefficients are such that:
but
,
then you have a consistent and independent system, i.e. exactly one solution (intersecting lines)
John

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