how many solutions does the system of equations have?
x-4y=12
5x-20y=60
The two equations can be simplified by dividing both sides of each equation by their respective coefficients:
x/1 - 4y/1 = 12/1
5x/5 - 20y/5 = 60/5
Simplifying further, we have:
x - 4y = 12
x - 4y = 12
We can see that these two equations are identical, which means that they represent the same line in a graph. Therefore, the system of equations has infinitely many solutions.