The sum of two numbers is -4. the difference between those numbers is -38. what are the numbers?

The numbers are and .

Step-by-step explanation:

If we let the numbers be and , we can write the following system of equations to solve for them:

(since the sum - which indicates addition - of the two numbers is )

(since the difference - which indicates subtraction - of the two numbers is )

Solving for and , we get:

(Add the two equations together)

(Divide both sides of the equation by to get rid of 's coefficient and simplify)

(Substitute into one of the equations, I chose the first one but it doesn't matter which one you choose)

(Add to both sides of the equation to isolate and simplify)

Therefore, the numbers are and . Hope this helps!

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