Question

Let x represent one number and let y represent the other number. The sum of two numbers is negative 6. If one number is subtracted from the​ other, their difference is 8. Use the given conditions to write a system of equations. Solve the system and find the numbers.

Answer 1

x=7 and y=-1

Explanation:

X+Y=6 OR X=6-Y ...(1)

X-Y=8 ...(2)

substitue X=6-Y in (2)

(6-Y)-Y=8

6-2Y=8

-2Y=8-6

-2Y=2

Y=2/-2\Y=-1 ANS.

for x, substitute Y=-1 in (1) above

X-(-1)=8

X=8-1

X=7 ANS.