# How do you solve the following system?: #4x + 5y = 2 , 17 x + 2y = 6 #

##### 2 Answers

#### Explanation:

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

or

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

#### Explanation:

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

So,