Question

How many solutions does the following system of equations have

Answer 1

Explanation:

The two equations are

`y = (5)/(2) x + 2 $` ......(1)

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

Equation (2) can be written as:

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