# How do you solve the simultaneous equations #m+n=19# and #m-n=7# ?

##### 2 Answers

#### Explanation:

Suppose the numbers are

We are given:

#{ (m+n=19), (m-n=7) :}#

Adding these two equations together we get:

#2m = 26#

Dividing both sides by

#m=13#

Then from the first equation, we find:

#n = 19-m = 6#

See the entire solution process below:

#### Explanation:

First, let's define the two numbers we are looking for. I will call them:

Next, from the problem we know we can write:

Then, solve the second equation for

Now, substitute

We have found the first number. To find the second number substitute

The two numbers are