# How do you solve the following linear system: # 2x + 4y = 7 , 3x + y = 4 #?

##### 1 Answer

Refer below for explanation.

#### Explanation:

First, arrange them like this so you can compare terms:

When we solve linear systems like this, we always look for ways to cancel one variable. We can see that if we multiply

We can now use this

Therefore our solution is

We can also look at the graph of these two equations, and confirm that they intersect at the point

Note that