SOLUTION: can you please help me solve this one. One number exceeds another by 10. The sum of the numbers is 8. What are the numbers? What I had for the equation was x+x+10=8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: can you please help me solve this one. One number exceeds another by 10. The sum of the numbers is 8. What are the numbers? What I had for the equation was x+x+10=8      Log On


   

Question 121553: can you please help me solve this one.
One number exceeds another by 10. The sum of the numbers is 8. What are the numbers? What I had for the equation was x+x+10=8
Answer by algebrapro18(249) About Me  (Show Source):
You can put this solution on YOUR website!
this is a problem involving solving a system of equations. The system is as follows:

y = x + 10
x+y = 8

now we just plug in the first equation into the second one and solve for x.

x + x + 10 = 8 --> combine like terms
2x + 10 = 8 --> Subtract 10 from both sides
2x = -2 --> divide both sides by 2
x = -1

now that we have a value for x plug that into the first equation and solve for y.

y = -1 + 10
y = 9