document.write( "Question 508369: Solve the equations using elimination & substitution method :
\n" ); document.write( "Please show the complete solution.Thank You. Urgent here. Please.Thanks again . \r
\n" ); document.write( "\n" ); document.write( "5x-2y=20
\n" ); document.write( "x+3y=-10
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Algebra.Com's Answer #340969 by Maths68(1474)\"\" \"About 
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By Substitution Method
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\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
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