A system of equations representing two different vertical lines is:
a) consistent independent
b) consistent dependent
c) inconsistent
d) inconsistent independent
Could someone explain this to me? Thanks!
http://mathforum.org/library/drmath/view/62538.html
To determine the nature of a system of equations representing two different vertical lines, we need to understand the concept of vertical lines.
A vertical line is a line that goes straight up and down, parallel to the y-axis. The equation of a vertical line is of the form x = c, where c is a constant. This means that the x-coordinate of all points on the line will be the same.
Now, let's consider a system of two equations representing two different vertical lines:
Equation 1: x = a
Equation 2: x = b
In this case, the x-coordinate of any point on the first line will be "a", and the x-coordinate of any point on the second line will be "b". Since "a" and "b" are different constants, the two lines will never intersect.
Based on this explanation, we can conclude that the system of equations representing two different vertical lines is inconsistent.
Therefore, the answer to your question is c) inconsistent.