# How do you solve the following linear system: # 7x+2y=1 , 3x+y=3 #?

##### 1 Answer

#### Explanation:

I'm going to show you two methods to do this, namely **Substitution** and **Elimination.**

**1. Substitution**

As the name suggests, we'll *substitute* one of the variables in terms of another.

We'll have to write

From the first equation we have:

Now that we have a value for

We can now substitute this value in any of the two equations in the beginning to get

**2. Elimination**

In this method, we'll first **eliminate** either the

I'm going to eliminate

In the first equation, the coefficient of

So let's make the coefficients of

Now, to eliminate the terms with

Now, like we did in the first step we can substitute this value of