# How do you solve this system of equations: #0.5x + y = 4.5 , y = x + 3#?

##### 1 Answer

Mar 3, 2018

#### Explanation:

To solve this system of equations, you need to use the **substitution method** because only one of the variables is defined.

First, substitute for **y**

Then, combine like terms (Ignore the parentheses)

Finally, solve for **x**

Since you now know what **x** is, substitute it in the other equation

Now that you know what both of the variables are, substitute for all the variables to check your answer

**(correct)**

**(correct)**

Since both of the variables work, we can now come to a conclusion about our answer

We can write our answer like this