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