document.write( "Question 193782: -6x+5y2z=10 -4x+5y+5z=29 -9x+4y+z=8 \n" ); document.write( "
Algebra.Com's Answer #145479 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Assuming the 1st eqn is ...... 5y + 2z .... \n" ); document.write( ", \n" ); document.write( "1)-6x+5y+2z = 10,,,,,mult by 5....-30x+25y+10z=50 \n" ); document.write( ", \n" ); document.write( "2)-4x +5y +5z =29,,,,mult by 2,,,,-8x +10y +10z =58 \n" ); document.write( ", \n" ); document.write( "3)-9x +4y +z =8,,,,,mult by 10,,,,-90x +40y +10z = 80 \n" ); document.write( ", \n" ); document.write( "This is three unknowns,,three eqns,,,therefore can be solved. \n" ); document.write( "If you have a graphing calculator, and know augmented matrix, good spot to use, otherwise, \n" ); document.write( ", \n" ); document.write( "subtract (2) from (1) to get,,,-22x+15y = -8,,,,,,,mult by 2,,,-44x+30y+-16 \n" ); document.write( "substract (2) from(3) to get ,,,-82x+30y = 22 \n" ); document.write( ", \n" ); document.write( "subtract again to get,,,-38x = 38,,,,x=(-1)ANSWER \n" ); document.write( ", \n" ); document.write( "substitute ,,,-22(-1) +15y = -8 \n" ); document.write( "22+15y = -8 \n" ); document.write( "15y = -30,,,,y=(-2) ANSWER \n" ); document.write( ", \n" ); document.write( "substitute in original (1),, -6(-1)+5(-2)+2z=10 \n" ); document.write( "6-10+2z = 10 \n" ); document.write( "2z = 14,,,,,,z=7 ANSWER \n" ); document.write( ", \n" ); document.write( "check by subst into original eqns \n" ); document.write( "1) -6(-1)+5(-2)+2(7) = 10 \n" ); document.write( "6-10+14=10,,,,ok \n" ); document.write( ", \n" ); document.write( "2) -4(-1)+5(-2)+5(7) = 29 \n" ); document.write( "4-10+35 = 29,,,,,ok \n" ); document.write( ", \n" ); document.write( "3) -9(-1)+4(-2)+(7) =8 \n" ); document.write( "9-8+7 =8,,,,,,ok \n" ); document.write( " |