How do solve the following linear system?: # x-4y=2 , 2x+6y=5 #?
In order to solve systems of linear equations, you can either use the
- Elimination Method
- Substitution Method
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.
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
Substituting to equation 1 ->
Substituting to equation 2 ->