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1.     Identify whether each statement about a system of linear equations is true or false. For each false statement, change a word to make it a true statement.

(a)   A system with two linear equations may have two solutions.

(b)   Lines in a system with no solutions are always parallel.

(c)   The solution when a system of equations has only one solution is the ordered pair at which the equations' graphs intersect.

(d)   Equations that have different slopes have no solution.

 Nov 10, 2018
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a) Wording is tricky here.  A 2 equation system may have 0, 1, or infinite solutions.  If infinite solutions it certainly has 2 solutions.  I guess I'd go with false and change "two" to "one".

 

b) in 2 dimensions True, in 3 or more dimensions False and add "or skew" after the word parallel

 

c) True

 

d) False, change "no" to "one"

 Nov 10, 2018

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