Two students recorded solution pairs for the equation
MATHEMATICS · Subjective · CBSE · Mathematics · Linear Equations in Two Variables · Linear Equations in Two Variables
Problem
Two students recorded solution pairs for the equation 3x+y=9.
Student A: (0,9),(3,0),(6,−9)
Student B: (1,6),(2,3),(4,−3)
(a) Without plotting any graph, explain why every ordered pair listed by both students satisfies the given equation.
(b) Plot any two points from Student A and any two points from Student B on the same Cartesian plane. What do you observe about the positions of these points?
(c) Using this example, comment on the number of possible solutions of a linear equation in two variables.