(1) The following explanation is incorrect: Consider the linear system of three equations in two variables (x and y are the variables): ax + by = e cx + dy = f gx + hy = k,
(1) The following explanation is incorrect:
Consider the linear system of three equations in two variables (x and y are the variables):
ax + by = e
cx + dy = f
gx + hy = k,
.
[1 ]. The linear equations represent three lines. We can denote them by L1, L2, L3.
[2 ]. A linear system of two variables represents the different ways lines could intersect.
[3 ]. Suppose L1 intersects L2 at point P, and L1 intersects L3 at a different point Q.
[4 ]. Then the three lines intersect at two points.
[5 ]. This means that the system has two solutions.
Please do the following:
(a) Indicate which of the statements numbered [1] to [5] above is incorrect and why it
is incorrect:
(b) Explain the correct conclusion of the explanation.
(c) Sketch a graph that shows the situation of the three lines.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 2 images
