Question

Determine, graphically whether the following system of linear equations is consistent or in-consistent:

x = 0, y = –7

Answer 1

The given system of linear equations is consistent.

Graph the first equation (x = 0): This represents a vertical line that exactly coincides with the y-axis.

Graph the second equation (y = –7): This represents a horizontal line passing through –7 on the y-axis, running parallel to the x-axis.

Find the intersection: The vertical line x = 0 and the horizontal line y = –7 intersect at exactly one unique point: (0, –7).