SOLUTION: one number added to twice another number is 13. Four times the first number added to twice the other number is -2. what are the numbers

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Question 553051: one number added to twice another number is 13. Four times the first number added to twice the other number is -2. what are the numbers
Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
Sub in a variables name for "one number" and "another number" and the question gets clearer:
a added to twice b is 13.
a+2b=13
Four times a added to twice b is -2
4a+2b=-2


Which gives me this system of equations
4a+2b=-2
a+2b=13
I'm going to subtract using the elimination method
3a=-15 (since 2b-2b cancels out)
a=-5
plug -5 in for a
-5+2b=13
2b=18
b=9