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.

Question

Mathematics

Leonel York

19 December, 07:59

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.

+2

Answers (1)

Know the Answer?

Lukas Moody · Answer 1

x=7 and y=-1

Step-by-step 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.