Question

The following system of equations has no solution.

{
2
x
+
y
=
1
y
=
−
2
x
−
3

When the lines are graphed on the same coordinate plane, they are

A.
perpendicular lines.

B.
intersecting lines.

C.
non-linear lines.

D.
parallel lines.

Answer 1

D. parallel lines.

Both equations can be written y = −2x + 1 and y = −2x − 3. They have the same slope (−2) but different y‑intercepts, so they are distinct parallel lines and do not intersect.