Answer:
The two numbers are 4/5 and -4/5, but 10 times the smaller number is added to 5 times the larger, the result is -4
Explanation:
The sum of two integers is 0 and when 10 times the smaller number is added to 5 times the larger, the result is 4 . Find the two numbers.
Let's write our equations system, this way:
x = Larger number
y = Smaller number
x + y = 0
5x + 10y = -4
::::::::::::::::::::::::
5x + 10y = -4
5x = -4 - 10y
x = (-4 -10y)/5
Replacing x and solving for x and y on the 1st equation
(-4 -10y)/5 + y = 0
-4 -10y + 5y = 0 (Multiplying by 5 at both sides)
-5y = 4
y = -4/5
y = -4/5 ⇒ x = 4/5
The two numbers are 4/5 and -4/5, but 10 times the smaller number is added to 5 times the larger, the result is -4