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

##### 1 Answer

#### Explanation:

In order to solve systems of linear equations, you can either use the

- Elimination Method
- Substitution Method
- Graphing

In this case, I would use the elimination method but note that you may use any method that you are comfortable with and still arrive at the same answer.

[Solution]

Multiply 2 to both sides of the first equation...

Doing this makes the coefficient of x in the two equations the same. This enables us to subtract one equation from the other to eliminate the

[Subtracting one equation from the other]

Now that we know the value of

[Checking]

Substituting to equation 1 ->

Substituting to equation 2 ->

[Final Answer]