SOLUTION: A first number plus twice a second number is 13. Twice the first number plus the second totals 8. Find the numbers.

Question 952227: A first number plus twice a second number is 13. Twice the first number plus the second totals 8. Find the numbers.
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
F=first number; S=second number
F+2S=13
F=13-2S
2F+S=8 Substitute for F
2(13-2S)+S=8
26-4S+S=8
26-3S=8 Add 3S to each side.
26=3S+8 Subtract 8 from each side.
18=3S Divide each side by 3.
6=S ANSWER 1: The second number is 6.
F=13-2S=13-12=1 ANSWER 2: The first number is 1.
CHECK:
F+2S=13
1+2(6)=13
1+12=13
13=13
2F+S=8
2(1)+6=8
2+6=8
8=8
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