Question

How many solutions does the following system of equations have?

y=5/2x + 2

2y=5x + 4

A,) One

B.) Two

C.) Infinitely many

D.) Zero

Answer 1

y=5/2x + 2           ...... (1)

2y=5x + 4            ...... (2)

Multiply equation (1) by 2.

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

2y = 5x +4

Both equations have same slope and same y- intercept.

These two equations are indicates the same line .

So they have Infinitely many solutions.

So option C is correct.