Consider the system of linear equations Sax + by C1 a2x + bzy = C2 where a, b1, C, a2, b2, and c2 represent real numbers. What must be true about the lines represented by the equations when la1 b a2 b2 O The lines must be parallel. - 0? O The lines must be perpendicular. O The lines must coincide. O The lines must be either parallel or coinciding. O The lines must intersect at a point, but are not necessarily perpendicular.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 30HP
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Consider the system of linear equations
Saix + biy = C1
lazx + bzy
%3D
C2
%3D
where a1, b1, C1, a2, b2, and c2 represent real numbers. What must be true about the lines represented by the equations when
=07
a2 b2
O The lines must be parallel.
O The lines must be perpendicular.
O The lines must coincide.
O The lines must be either parallel or coinciding.
O The lines must intersect at a point, but are not necessarily perpendicular.
Transcribed Image Text:Consider the system of linear equations Saix + biy = C1 lazx + bzy %3D C2 %3D where a1, b1, C1, a2, b2, and c2 represent real numbers. What must be true about the lines represented by the equations when =07 a2 b2 O The lines must be parallel. O The lines must be perpendicular. O The lines must coincide. O The lines must be either parallel or coinciding. O The lines must intersect at a point, but are not necessarily perpendicular.
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