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Represent the following system of equations graphically and conclude whether the system is consistent or inconsistent.
n$2x + 3y = 6$
n$4x + 6y = 24$
n$2x + 3y = 6$
n$4x + 6y = 24$
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Table for $2x + 3y = 6$: (1/2 Mark)
n$x$: $0, 3$
n$y$: $2, 0$
nTable for $4x + 6y = 24$: (1/2 Mark)
n$x$: $0, 6$
n$y$: $4, 0$
nCorrect Graph (2 Marks)
nAs lines are parallel, hence the system is inconsistent. (1 Mark)
n$x$: $0, 3$
n$y$: $2, 0$
nTable for $4x + 6y = 24$: (1/2 Mark)
n$x$: $0, 6$
n$y$: $4, 0$
nCorrect Graph (2 Marks)
nAs lines are parallel, hence the system is inconsistent. (1 Mark)