Final answer:
To find two numbers A and B whose sum is -3 and whose difference is 5, we can use a system of equations.
By solving this system, we find that the two numbers are A = 1 and B = -4.
Step-by-step explanation:
Let's assign A and B as the unknown numbers.
The sum A+B = -3, so we have the equation A + B = -3.
The difference A-B = 5, so we have the equation A - B = 5.
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the method of substitution.
From the equation A + B = -3, we can isolate A by subtracting B from both sides: A = -3 - B.
Substitute this value of A into the second equation A - B = 5:
(-3 - B) - B = 5
-3 - 2B = 5
-2B = 5 + 3
-2B = 8
B = 8/-2
B = -4
Substitute the value of B back into the first equation to find A:
A + -4 = -3
A = -3 + 4
A = 1
Therefore, the two numbers A and B that satisfy the given conditions are A = 1 and B = -4.