document.write( "Question 149776: Solve the system of equations.
\n" ); document.write( "1.5x – 7y = 2
\n" ); document.write( "0.625x + 3y = –2.125 \n" ); document.write( "
Algebra.Com's Answer #109886 by Alan3354(69443)\"\" \"About 
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Solve the system of equations.
\n" ); document.write( "1.5x – 7y = 2
\n" ); document.write( "0.625x + 3y = –2.125
\n" ); document.write( "----------
\n" ); document.write( "get rid of fractions for convenience
\n" ); document.write( "3x - 14y = 4 (x2)
\n" ); document.write( "5x + 24y = -17 (x8)
\n" ); document.write( "I'll use determinants
\n" ); document.write( "x y 1
\n" ); document.write( "3 -14 -4
\n" ); document.write( "5 24 17
\n" ); document.write( "Det = 3*24 - 5*(-14)
\n" ); document.write( "Det = 142
\n" ); document.write( "142x = -14*17 - 24*(-14)
\n" ); document.write( "= -238 + 96
\n" ); document.write( "= -142
\n" ); document.write( "x = -1
\n" ); document.write( "---------
\n" ); document.write( "-142y = 3*17 - 5*(-4)
\n" ); document.write( "= 51 + 20
\n" ); document.write( "=71
\n" ); document.write( "y = -71/142
\n" ); document.write( "y = -1/2\r
\n" ); document.write( "
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