SOLUTION: Joe Tyson is the kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal scored 3 points and each extra point scored 1 point for a to

Algebra ->  Systems-of-equations -> SOLUTION: Joe Tyson is the kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal scored 3 points and each extra point scored 1 point for a to      Log On


   

Question 846659: Joe Tyson is the kicker for his college football team. Last season he kicked 38 times and never missed. Each field goal scored 3 points and each extra point scored 1 point for a total of 70 points. Find the number of field goals and extra points that Joe made last season.
My teacher taught us an easier version of this but then she forgot to teach us the next step so I am a bit lost.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of 3-point kicks
Let +b+ = number of 1-point kicks
--------------------------------
(1) +a+%2B+b+=+38+
(2) +3a+%2B+1%2Ab+=+70+
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Subtract (1) from (2)
(2) +3a+%2B+b+=+70+
(1) +-a+-+b+=+-38+
+2a+=+32+
+a+=+16+
and
(1) +a+%2B+b+=+38+
(1) +16+%2B+b+=+38+
(1) +b+=+22+
Joe kicked 16 fg's and 22 ep's
check:
(2) +3a+%2B+b+=+70+
(2) +3%2A16+%2B+22+=+70+
(2) +48+%2B+22+=+70+
(2) +70+=+70+
OK