Question

Given the systems of equations: y₁ = 2.5 + 4 and y₂ = 5/2 + 4. Which of the following statements correctly describes the type of solution these systems have?

A) First and Second have no solution.
B) First and Second have exactly one solution.
C) First and Second have infinitely many solutions.
D) The type of solution for First and Second cannot be determined with the provided information.

Answer 1

The systems of equations have no solution.

Step-by-step explanation:

The systems of equations given are:

y₁ = 2.5 + 4

y₂ = 5/2 + 4

We can simplify these equations to:

y₁ = 6.5

y₂ = 6.5

Both equations have the same constant value, which means they represent parallel lines on a graph. Parallel lines never intersect, so the systems of equations have no solution.

Therefore, the correct answer is A) First and Second have no solution.