How do you solve the following system?: #4x + 5y = 2 , 17 x + 2y = 6 #
There are a couple of ways we can solve this. I'm going to use the elimination method
I need to make two of the variables equal, so I'm going to multiply the second equation by
Now we subtract the two equations:
If we simplify our equation, we find that
Now we just solve for
Now we have
To double check our work, we need to plug our values into one (or both) of the equations.
Just to be safe, let's look at the other equation.
Good job, we got it right! Nice work
Using the process of elimination, we find that
We can solve this system of equations using the elimination method. First, we can set up the system in such a way that the
So we get:
Adding these two equations together gives us:
Plug this value of