Answer:
The two numbers are -5 and 4.
Step-by-step explanation:
Let the two numbers be 'x' and 'y'.
Given:
The sum of the two numbers is -1 and their difference is -9.
As per question:
[tex]x+y=-1\\\\x-y=-9[/tex]
Adding both the equations, we get:
[tex]x+y+x-y=-1-9\\\\x+x+y-y=-10\\\\2x+0=-10\\\\2x=-10\\\\x=\frac{-10}{2}\\\\x=-5[/tex]
Now, we got [tex]x=-5[/tex]
Plug in the value of 'x' in the first equation. This gives,
[tex]x+y=-1\\\\-5+y=-1\\\\y=-1+5\\\\y=5-1......(\textrm{Using commutative property})\\\\y=4[/tex]
Therefore, the two numbers are -5 and 4.
