# How do you solve the system #x - 2y = 2 # and #x + y = 5#?

##### 1 Answer

Mar 10, 2018

#### Answer:

#### Explanation:

The quickest way in this particular set is probably by substitution.

Rearranging the first equation,

Substituting into the second equation,

Collecting terms and rearranging

That is

which implies

Substituting this value for

which implies

It is always worth checking the solution, so substituting these values into the second equation gives