document.write( "Question 182691: You have just tuned into a football game. Your team is winning 27-18. The announcer says they have scored five times on field goals and touchdowns and haven't missed a point after touchdown yet. How many touch downs and field goals has your team made? \n" ); document.write( "

Algebra.Com's Answer #137177 by Mathtut(3670) $\"\"$ $\"About$

You can put this solution on YOUR website!
You have just tuned into a football game. Your team is winning 27-18. The announcer says they have scored five times on field goals and touchdowns and haven't missed a point after touchdown yet. How many touch downs and field goals has your team made?
\n" ); document.write( ":
\n" ); document.write( "let t and f be the number of touchdowns and field goals, respectively
\n" ); document.write( ":
\n" ); document.write( "t+f=5.........eq 1
\n" ); document.write( "7t+3f=27......eq 2
\n" ); document.write( ":
\n" ); document.write( "rewrite eq 1 to t=5-f and plug that into eq 2
\n" ); document.write( ":
\n" ); document.write( "7(5-f)+3f=27
\n" ); document.write( ":
\n" ); document.write( "35-7f+3f=27
\n" ); document.write( ":
\n" ); document.write( "-4f=-8
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28f=2%29\"$ field goals made
\n" ); document.write( ":
\n" ); document.write( " $\"highlight%28t=5-f=5-2=3%29\"$ touchdowns scored \n" ); document.write( "

\n" );