Answer:
[tex]x=90\\y=-40[/tex]
Step-by-step explanation:
Let's set up a system of equations using the given information.
x+y=50
x-y=130
We can solve this system using elimination. In this case, we can eliminate x by subtracting the two equations.
[tex]x-x+y-(-y)=50-130\\x-x+y+y=50-130[/tex]
[tex]2y=-80[/tex]
Divide both sides by 2.
[tex]y=-40[/tex]
Then, plug -40 in for y to solve for x:
[tex]x+y=50\\x+(-40)=50\\x-40=50\\\text{Add 40 to both sides}\\x=90[/tex]
Therefore..
[tex]x=90\\y=-40[/tex]
