Question

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5. Identify whether each statement about a system of linear equations is true or false. For each false statement, explain why it is false and then 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

Answer 1

b c true. a d false

Explanation:

Answer 2

A is false, linear functions only intersect once
D is false, equal slopes implies parallel lines implies no intersection. lines with different slopes ALWAYS intersect once.