Respuesta :
Answer:
71 and -35
Step-by-step explanation:
so with this we can set up a system of equations
x+y=36
and
x-y=106
now we can add these equations together to eliminate y
x+y=36 plus
x-y=106 equals
2x=142
divide both sides by 2
x=71
now we can plug that in
71+y=36
subtract 71 from both sides
y=-35
Answer:
-71 and
35
Step-by-step explanation:
Let the numbers be x and y
x + y = -36
x = y - 106
Substitute y - 106 or x in the first equation
We have
x + y = -36
y - 106 + y = -36
y + y - 106 = -36
2y - 106 = -36
Add 106 to both sides to eliminate -106 on the left side
2y - 106 + 106 = -36 + 106
2y = 70
Divide both sides by 2
2y/2 = 70/2
y = 35
Substitute 35 for y in either equation to get x
Using the second equation, we have
x = y - 106
x = 35 - 106
x = -71
The numbers are 35 and -71
Check
x + y = -36
-71 + 35 = -36
-36 = -36