1.) Determine without graphing whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. 3y = 6x + 4 4 -2x + y = 3
1.) Determine without graphing whether the system of equations has exactly one solution, no solution, or an infinite number of solutions. 3y = 6x + 4 4 -2x + y = 3
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.1: Systems Of Linear Equations
Problem 100E: Write a system of three equations in three variables with an infinite number of solutions.
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Transcribed Image Text:1.) Determine without graphing whether the system of equations has exactly one solution, no solution, or
an infinite number of solutions.
Зу %3D 6х + 4
4
-2x + y =
Expert Solution
Step 1
Topic = Coordinate geometry
no solution
Since parallel lines never cross, then there can be no intersection of these lines; that is, for a system of two linear equations that graphs as two parallel lines, there can be no solution.
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