How many solutions does the following system of equations have?

y=5/2x+2

2y=5x+4

One

Two

Zero

Infinitely many

We will use a method of substitution.

y = 5/2 x + 2

2 y = 5 x + 4 ⇒ 2 (5/2 x + 2) = 5 x + 4

5 x + 4 = 5 x + 4

0 x = 0 ⇒ x, y ∈ R

Answer: D)

This system has infinitely many solutions.