How many solutions does the following system of equations have? y=5/2x+2
2y=5x+4
A. One
B. Zero
C. Two
D. Infinitely many

D. Infinitely many

Step-by-step explanation:

Divide 2 from both sides in 2y=5x+4

You get Y=5/2x+2

This equation is the same as the first one, meaning X could be anything. Therefore there are infinitely many solutions.

B) Zero

Step-by-step explanation:

The system of equations is:

y = 5x/2 + 2 (1)

2y = 5x + 4 (2)

Let's solve the equations:

Put (1) in (2):

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

5x + 4 = 5x + 4

5x - 5x = 4 - 4

This will yield 0 = 0

Therefore, this system of equations has 0 solutions.

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