Question

Mr.Brown is creating examples of systems of equations. He completes the steps to find the solution of the equation below. Based on this week, what solution to the system?
•(-4,-4)
•(0,0)
•no solution
•infinitely many solutions

Answer 1

Answer:

infinitely many solutions

Step-by-step explanation:

0 = 0 ← is a true statement.

Indicates that the 2 lines are the same line, that is one lying on top of the other.

Thus the system has an infinite number of solutions

Answer 2

Because Mr. Brown arrived to an identity, we conclude that there are infinitely many solutions.

How many solutions does the system have?

First, the solutions of a system of equations are the points (x, y) where the graphs of both equations intercept.

Particularly, if we have two times the same equation, then the graphs intercept in infinite points, which means that we will have infinite solutions.

So, always that we have an identity in our solution (something like 0 = 0) we have infinite solutions (that happens because we do not have restrictions for x or y, which means that for every value of x, we will find a point (x, y) that is a solution of the system).

Then we conclude that the system has infinitely many solutions.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ2