# Three times a number minus another number is -3. The sum of the numbers is 11. What are the numbers?

##### 1 Answer
Apr 11, 2018

Please look below.

#### Explanation:

Three times a number minus another number is $- 3$ :

$3 a - b = - 3$ ---(1)

The sum of the numbers is $11$ :

$a + b = 11$ ---(2)

(1) + (2) :

$\left(3 a - b\right) + \left(a + b\right) = \left(- 3\right) + \left(11\right)$

$4 a = 8$

$a = 2$

$a$ substituted into (2):

$\left(2\right) + b = 11$

$b = 9$

Therefore the two numbers are $2$ and $9$.