document.write( "Question 92859This question is from textbook Finite Mathematics
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document.write( ": The soultion to the system of equations below is: x+2y-z=-3, 2x-y+3z=14, x+4y-2z=8 \n" );
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Algebra.Com's Answer #67775 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The soultion to the system of equations below is: \n" ); document.write( "Eq1: x + 2y - z =-3, \n" ); document.write( "Eq2:2x - y + 3z =14, \n" ); document.write( "Eq3: x +4y - 2z = 8 \n" ); document.write( ": \n" ); document.write( "Multiply eq1 by -2 and add to eq3 \n" ); document.write( "-2x - 4y + 2z = 6 \n" ); document.write( " x + 4y - 2z = 8 \n" ); document.write( "-------------------adding eliminates y & z \n" ); document.write( " -x +0y + 0z = 14 \n" ); document.write( "x = -14 \n" ); document.write( ": \n" ); document.write( "Add all three equations, eliminates z \n" ); document.write( " x + 2y - z =-3, \n" ); document.write( "2x - y + 3z =14, \n" ); document.write( " x +4y - 2z = 8 \n" ); document.write( "-------------------- \n" ); document.write( "4x + 5y + 0z = 19 \n" ); document.write( "4x + 5y = 19 \n" ); document.write( ": \n" ); document.write( "x = -14, substitute -14 for x in the above and find \n" ); document.write( "4(-14) + 5y = 19 \n" ); document.write( "-56 = 5y = 19 \n" ); document.write( "5y = 19 + 56 \n" ); document.write( "5y = 75 \n" ); document.write( "y = 75/5 \n" ); document.write( "y = +15 \n" ); document.write( ": \n" ); document.write( "I'll let you find z; check solutions in one of the original equations \n" ); document.write( " \n" ); document.write( " |