Question

How many solutions does the following system of equations have

Answer 1

Answer:

Step-by-step explanation:

The two equations are

$y = \frac{5}{2} x + 2$          ......(1)

2y = $5x + 8$                      ......(2)

Equation (2) can be written as:

y = $\frac{5}{2}x + \frac{8}{2} = \frac{5}{2}x + 4$

Now these two equations represent a pair of parallel lines.

The equations of any two parallel line differ only by a constant.

Since, these are equations of parallel lines, they don't intersect. If they don't intersect they cannot have solutions.

⇒ The given system of equations has zero solutions.