Question

How many solutions does the system of equations below have?

y
=
–2
x
+
7
8

y
=
–2
x
+
7
8

Answer 1

Infinitely many. The two equations are identical, so every point on the line y = −2x + 7/8 is a solution. Equivalently, all pairs (x, −2x + 7/8) for x ∈ R satisfy the system.