SOLUTION: In a football game,all of the homes teams points area from 7-point touchdowns and 3-point field goals. The team scores six times. Write and solve a system of linear equations to fi

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: In a football game,all of the homes teams points area from 7-point touchdowns and 3-point field goals. The team scores six times. Write and solve a system of linear equations to fi      Log On


   

Question 1103690: In a football game,all of the homes teams points area from 7-point touchdowns and 3-point field goals. The team scores six times. Write and solve a system of linear equations to find the numbers of touchdowns and field goals that the home team scores

Found 2 solutions by josmiceli, stanbon:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the number of touchdowns = +x+
+6+-+x+ = the number of field goals
Let +y+ = the total of the home team points
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+y+=+7x+%2B+3%2A%28++6+-+x+%29+
+y+=+7x+%2B+18+-+3x+
+y+=+4x+%2B+18+
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check:
suppose +x+=+1+
+7x+=+7+ is scores from touchdowns
+3%2A%28+6+-+x+%29+=+3%2A%28+6+-+1+%29+
+3%2A%28+6+-+1+%29+=+15+ is scores from field goals
+7+%2B+15+=+22+ is total score
and
+y+=+4x+%2B+18+
+y+=+4%2A1+%2B+18+
+y+=+22+
OK

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a football game,all of the homes teams points area from 7-point touchdowns and 3-point field goals. The team scores six times. Write and solve a system of linear equations to find the numbers of touchdowns and field goals that the home team scores
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Scores Equation:: s + t = 6
Points Equation:: 7s + 3t = ?
Note:: Need to know total # of points
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Cheers,
Stan H.
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