SOLUTION: The sum of two numbers is 15 less than twice the first number. Their difference is 5 less than twice the second number. Solve and explain

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Question 26888: The sum of two numbers is 15 less than twice the first number. Their difference is 5 less than twice the second number. Solve and explain
Thank you
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=2x-15 Solve for y (SUM)
y=x-15 (subsitution)

x-y=2x-5 (subsitue for y) (DIFFERENCE)
x-(x-15)=2x-5
x-x+15=x-5
15=2x-5
2x=20
x=10

10+y=2(10)-15
10+y=20-15
y=5-10
y=-5

Hence, the two numbers are -5 and 10.
Paul.