Translate to a system of equations:

The sum of two numbers is negative thirty-two. One number is two less than the other.

The system of equations are x + y = - 32 and y = x - 2

Solution:

Given that the sum of two numbers is - 32. one number is two less than the other.

We have to translate this to a system of equations.

Consider the two numbers as "x" and "y"

From question, given sum of two numbers is - 32

x + y = - 32

now, given that one number is two less than other. Hence we can say "y" is two less than "x".

y = x - 2

Hence the system of equations are x + y = - 32 and y = x - 2

-17+-15 = - 32

Step-by-step explanation

The first number is two less than the other, - 15 is two less than - 17 and both add up to - 32