Question

he 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 have slope −2 (y = 1 − 2x and y = −2x − 3) but different y-intercepts (1 and −3), so the lines are distinct and parallel and do not intersect.