document.write( "Question 508369: Solve the equations using elimination & substitution method :
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document.write( "Please show the complete solution.Thank You. Urgent here. Please.Thanks again . \r
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document.write( "5x-2y=20
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document.write( "x+3y=-10 \n" );
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Algebra.Com's Answer #340969 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! By Substitution Method \n" ); document.write( "======================= \n" ); document.write( "5x-2y=20 ...........(1) \n" ); document.write( "x+3y=-10 ...........(2)\r \n" ); document.write( "\n" ); document.write( "Take (2) \n" ); document.write( "x+3y=-10 \n" ); document.write( "x=-10-3y\r \n" ); document.write( "\n" ); document.write( "Put the value of x in (1) \n" ); document.write( "5x-2y=20 ...........(1) \n" ); document.write( "5(-10-3y)-2y=20 \n" ); document.write( "-50-15y-2y=20 \n" ); document.write( "-17y=20+50 \n" ); document.write( "-17y=70 \n" ); document.write( "Divide above equation by -17 \n" ); document.write( "-17y/-17=70/-17 \n" ); document.write( "y=-70/17 \n" ); document.write( "Put the value of y in (2) \n" ); document.write( "x+3(-70/17)=-10 \n" ); document.write( "Multiply above equation by 17 \n" ); document.write( "17(x+3(-70/17))=-10 * 17 \n" ); document.write( "17x+3(-70)=-170 \n" ); document.write( "17x-210=-170 \n" ); document.write( "17x=-170+210 \n" ); document.write( "17x=40 \n" ); document.write( "Divide above equation by 17 \n" ); document.write( "17x/17=40/17 \n" ); document.write( "x=40/17\r \n" ); document.write( "\n" ); document.write( "(x,y)=(40/17, -70/17)\r \n" ); document.write( "\n" ); document.write( "By Elimination Method \n" ); document.write( "====================== \n" ); document.write( "5x-2y=20 ...........(1) \n" ); document.write( "x+3y=-10 ...........(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (2) by -5 and add to (1) \n" ); document.write( "-5(x+3y)=-10*-5 \n" ); document.write( "-5x-15y=50 \n" ); document.write( "5x-2y=20 ...........(1) \n" ); document.write( "============== \n" ); document.write( "-17y=70 \n" ); document.write( "Divide above equation by -17 \n" ); document.write( "-17y/-17=70/-17 \n" ); document.write( "y=-70/17\r \n" ); document.write( "\n" ); document.write( "Again put the value of y in (2) \n" ); document.write( "x+3(-70/17)=-10 \n" ); document.write( "Multiply above equation by 17 \n" ); document.write( "17(x+3(-70/17))=-10 * 17 \n" ); document.write( "17x+3(-70)=-170 \n" ); document.write( "17x-210=-170 \n" ); document.write( "17x=-170+210 \n" ); document.write( "17x=40 \n" ); document.write( "Divide above equation by 17 \n" ); document.write( "17x/17=40/17 \n" ); document.write( "x=40/17 \n" ); document.write( "(x,y)=(40/17, -70/17)\r \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "Put the value of x and y in (2) \n" ); document.write( "x+3y=-10 ...........(2) \n" ); document.write( "40/17 + 3(-70/17)=-10 \n" ); document.write( "40/17 - 210/17=-10 \n" ); document.write( "Taking LCM \n" ); document.write( "(40-210)/17=-10 \n" ); document.write( "Multiply above equation by 17 \n" ); document.write( "17*(40-210)/17=-10*17 \n" ); document.write( "40-210=-10*17 \n" ); document.write( "-170=-170 \n" ); document.write( " \n" ); document.write( " |