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.

hoiuu Nov 10, 2018

#1**0 **

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"

Rom Nov 10, 2018