Question

A system of equations is shown below.

{
6.3
x
−
4.7
y
=
−
9
−
6.3
x
+
4.7
y
=
8

Which of the following best explains why there is no solution to the system?

A.
The two equations describe lines with the same slope, which means they are the same line.

B.
Subtracting the two equations results in 0 = 0, which is a true statement.

C.
The two equations have a single point of intersection at the point (0,–1).

D.
Adding the two equations results in 0 = –1, which is a false statement.

Answer 1

D.

Adding the two equations cancels the x and y terms and gives 0 = −1, a contradiction. The lines are parallel (same slope) but have different intercepts, so there is no solution.