# How do you find two numbers such that the first number added to three times the second is 31, while three times the first less twice the second is 16?

##### 1 Answer

Nov 25, 2016

The first number is 10 and the second number is 7

#### Explanation:

Let's define the two numbers we are looking for as

The first number added to three times the second number is 31 can be written as:

Three time the first less twice the second is 16 can be written as:

Solve the first equation for

Substitute

Now substitute