SOLUTION: The sum of two numbers is 42. The second is 10 more than 3 times the first. Find the numbers. (Show the two equations you used and then your solution)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The sum of two numbers is 42. The second is 10 more than 3 times the first. Find the numbers. (Show the two equations you used and then your solution)      Log On


   

Question 176812: The sum of two numbers is 42. The second is 10 more than 3 times the first. Find the numbers. (Show the two equations you used and then your solution)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the larger nuber y
Call the smaller number x
given:
(1) y+%2B+x+=+42
(2) y+=+3x+%2B+10
----------------
from (1)
(1) x+=+42+-+y
substitute in (2)
y+=+3%2A%2842+-+y%29+%2B+10
y+=+126+-+3y+%2B+10
4y+=+136
y+=+34
and from (2)
(2) y+=+3x+%2B+10
34+=+3x+%2B+10
3x+=+34+-+10
3x+=+24
x+=+8
The numbers are 34 and 8