SOLUTION: two times a number plus three times another number equals 13. the sum of the two numbers is 7. what are the two numbers?

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Question 196622: two times a number plus three times another number equals 13. the sum of the two numbers is 7. what are the two numbers?
Answer by jonvaliente(64) About Me  (Show Source):
You can put this solution on YOUR website!
Let x and y be two numbers
.
2x+3y=13 (1)
x+y=7 (2)
.
Multiply (2) by 2 and subtract from (1)
2x%2B3y=13
-2x%2B2y=14
===============
3y-2y=13-14
y=-1
x+(-1)=7
x=8
The two numbers are 8 and -1