document.write( "Question 359714: I am attempting to help my daughter with her Algebra 2 homework. I got the problem set up but have no clue how to proceed from here. The problem is \r
\n" ); document.write( "\n" ); document.write( "(1 1 1
\n" ); document.write( " 1 1 1
\n" ); document.write( " 1 1 1)\r
\n" ); document.write( "\n" ); document.write( "The next part of the matrix which is to be multiplied is (4 over 9). \r
\n" ); document.write( "\n" ); document.write( "This the matrix, I think, that I need to work with. \r
\n" ); document.write( "\n" ); document.write( "The original problem states: 1 putt is a hole in one; 2 putts is a birdie; 3 putts is a par and 4 putts is a bogey. \r
\n" ); document.write( "\n" ); document.write( "Grace placed 18 holes of miniature golf. On each hole, sh made a birdie, a par, or a bogey. She made 4 more pars than birdies and bogeys combined. Her total score was 55. How many birdies did Grace get?\r
\n" ); document.write( "\n" ); document.write( "Now I am lost once I got the above problem set up. Can you please help?
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Algebra.Com's Answer #256702 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
First, name your variables.
\n" ); document.write( "No holes-in-one. So there are only three variables.
\n" ); document.write( "Let \"B\" be the number of birdies, \"P\" the number of pars, \"G\" the number of bogeys.
\n" ); document.write( "and each have a score of 2,3, and 4 respectively.
\n" ); document.write( "You know that
\n" ); document.write( "She played 18 holes.
\n" ); document.write( "1.\"B%2BP%2BG=18\"
\n" ); document.write( "\"she has made 4 more pars than birdies and bogeys combined\"
\n" ); document.write( "\"P=4%2B%28B%2BG%29\"
\n" ); document.write( "2.\"-B%2BP-G=4\"
\n" ); document.write( "\"Her total score was 55\"
\n" ); document.write( "3.\"2B%2B3P%2B4G=55\"
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\n" ); document.write( "1.\"B%2BP%2BG=18\"
\n" ); document.write( "2.\"-B%2BP-G=4\"
\n" ); document.write( "3.\"2B%2B3P%2B4G=55\"
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\n" ); document.write( "[A]=\"%28matrix%283%2C3%2C1%2C1%2C1%2C-1%2C1%2C-1%2C2%2C3%2C4%29%29\"
\n" ); document.write( "[x]=\"%28matrix%283%2C1%2CB%2CP%2CG%29%29\"
\n" ); document.write( "[b]=\"%28matrix%283%2C1%2C18%2C4%2C55%29%29\"
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\n" ); document.write( "[A][x]=[b]
\n" ); document.write( "[x]=[A]inv[b]
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\n" ); document.write( "det[A]=\"4\"
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\n" ); document.write( "[A]=\"%281%2F4%29%2A%28matrix%283%2C3%2C7%2C1%2C-2%2C2%2C2%2C0%2C-5%2C-1%2C2%29%29\"
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\n" ); document.write( "[x]=\"%28matrix%283%2C1%2CB%2CP%2CG%29%29=%28matrix%283%2C1%2C3%2C11%2C4%29%29\"
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\n" ); document.write( "Grace got 3 birdies, 11 pars, and 4 bogeys.
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