Question

How many solutions does the following system of equations have?

y=5/2x+2
2y=5x+4

One

Two

Zero

Infinitely many

Answer 1

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.