Consider the pair of linear equations below.

4x+6y=12
2x+3y=6
What is the relationship,if any, between the two equations

Does the system of equations have one solution, no solution, or infinitely many solutions.Explain

How can you verify your answers to the two questions above by solving algebraically

3 answers

Happy Sunday!
Did you notice that the second equation is EXACTLY like the first equation (but the parts are all multiplied by 2).
This means that they are EXACTLY the same equation and lie on top of each other.
If you were to graph both of them, they are the same line : )
Thus an infinite number of solutions.

Thank you very much

4x+6y