document.write( "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\r
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Algebra.Com's Answer #718384 by josmiceli(19441) $\"\"$ $\"About$

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Let the number of touchdowns = $\"+x+\"$
\n" ); document.write( " $\"+6+-+x+\"$ = the number of field goals
\n" ); document.write( "Let $\"+y+\"$ = the total of the home team points
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\n" ); document.write( " $\"+y+=+7x+%2B+3%2A%28++6+-+x+%29+\"$
\n" ); document.write( " $\"+y+=+7x+%2B+18+-+3x+\"$
\n" ); document.write( " $\"+y+=+4x+%2B+18+\"$
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\n" ); document.write( "check:
\n" ); document.write( "suppose $\"+x+=+1+\"$
\n" ); document.write( " $\"+7x+=+7+\"$ is scores from touchdowns
\n" ); document.write( " $\"+3%2A%28+6+-+x+%29+=+3%2A%28+6+-+1+%29+\"$
\n" ); document.write( " $\"+3%2A%28+6+-+1+%29+=+15+\"$ is scores from field goals
\n" ); document.write( " $\"+7+%2B+15+=+22+\"$ is total score
\n" ); document.write( "and
\n" ); document.write( " $\"+y+=+4x+%2B+18+\"$
\n" ); document.write( " $\"+y+=+4%2A1+%2B+18+\"$
\n" ); document.write( " $\"+y+=+22+\"$
\n" ); document.write( "OK
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