Consider the system of linear equations [ajx + b1y = C1 |a2x + b2y = C2 where a1, b1, C1, a2, b2, and c2 represent real numbers. What must be true about the lines represented by the equations O The lines must be perpendicular. O The lines must coincide. O The lines must be parallel. 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
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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
faix
+ b1y = C1
la2x + b2y = C2
a1
where a1, b1, C1, a2, b2, and c2 represent real numbers. Wwhat must be true about the lines represented by the equations when
|a2 b2
b1
= 0?
O The lines must be perpendicular.
O The lines must coincide.
O The lines must be parallel.
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 faix + b1y = C1 la2x + b2y = C2 a1 where a1, b1, C1, a2, b2, and c2 represent real numbers. Wwhat must be true about the lines represented by the equations when |a2 b2 b1 = 0? O The lines must be perpendicular. O The lines must coincide. O The lines must be parallel. 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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