# How do you solve the system of equations #x+ y = 3# and #x = 3y - 5#?

##### 3 Answers

#### Explanation:

You must make an equation that has only one variable in it so you can solve for that variable. By finding the variable you can use it to find the other one.

Let's solve for

substitute

"

Now we need to find

"

#### Explanation:

#x+y=3# #x=3y-5#

From the first equation, we can determine a value for

Substituting

Add

Add

Divide both sides by

Substituting

Subtract

#### Explanation:

Note the each equation has a single

Therefore we can have:

However, the

There are now 2 ways to find a value for