document.write( "Question 651049: Please help me with this system of equations
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document.write( "2x-3y-z=4
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document.write( "4x+y+z=15
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document.write( "x-y-z=-2 \n" );
document.write( "
Algebra.Com's Answer #407553 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Please help me with this system of equations: \n" ); document.write( "-------------------- \n" ); document.write( "2x-3y-z=4 \n" ); document.write( "4x+y+z=15 \n" ); document.write( "x-y-z=-2 \n" ); document.write( "================= \n" ); document.write( "Rearrange: \n" ); document.write( "x - y - z = -2 \n" ); document.write( "2x-3y - z = 4 \n" ); document.write( "4x+ y + z = 15 \n" ); document.write( "----------------- \n" ); document.write( "Multiply 1st equation by 2 and subtract from 2nd equation \n" ); document.write( "Multiply 1st equation by 4 and subtract from 3rd equation \n" ); document.write( "---------------------- \n" ); document.write( "x - y - z = -2 \n" ); document.write( "0 - y + z = 8 \n" ); document.write( "0 + 5y +5z= 23 \n" ); document.write( "------------------------ \n" ); document.write( "Multiply 2nd equation by 5 and add to 3rd Equation \n" ); document.write( "x - y - z = -2 \n" ); document.write( "0 - y + z = 8 \n" ); document.write( "0 + 0 + 10z = 63 \n" ); document.write( "----- \n" ); document.write( "z = 6.3 \n" ); document.write( "---- \n" ); document.write( "Substitute and solve for \"y\": \n" ); document.write( "-y + 6.3 = 8 \n" ); document.write( "y = -1.7 \n" ); document.write( "----- \n" ); document.write( "Substitute and solve for \"x\": \n" ); document.write( "x -(-1.7) - (6.3) = -2 \n" ); document.write( "x + 1.7 = 4.3 \n" ); document.write( "x = 2.6 \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |