document.write( "Question 453254: Solve using the substitution method. If the system has no solution or an infinite number of solutions, state this.
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document.write( "-x + 6y = 54
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document.write( "3x + y = 9\r
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document.write( "Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this.
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document.write( "-2x - 8y = 22
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document.write( "-6x - y = 20
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Algebra.Com's Answer #311464 by mananth(16946)![]() ![]() You can put this solution on YOUR website! -x+6y=54 .............1 \n" ); document.write( "y=9-3x ---------2 \n" ); document.write( "y=9-3x \n" ); document.write( "Plug the value of y in (1) \n" ); document.write( "-1x+6(9-3x)=54 \n" ); document.write( "-1x+54 -18x=54 \n" ); document.write( "-1x-18x =54-54 \n" ); document.write( "-19x=0 \n" ); document.write( "x= 0 \n" ); document.write( "Plug the value of x in (1) \n" ); document.write( "-x+6y=54 \n" ); document.write( "-1*0+6y=54 \n" ); document.write( "6y=54 \n" ); document.write( "6y=54 \n" ); document.write( "/6 \n" ); document.write( "y=9 \n" ); document.write( "------------------------------ \n" ); document.write( "-2x-8y= 22 .............1 \n" ); document.write( "-6x-y= 20 .............2 \n" ); document.write( "Eliminate y \n" ); document.write( "multiply (1)by 1 \n" ); document.write( "Multiply (2) by -8 \n" ); document.write( "-2x-8y=22 \n" ); document.write( "48x++8y=-160 \n" ); document.write( "Add the two equations \n" ); document.write( "46x=-138 \n" ); document.write( "/46 \n" ); document.write( "x=-3 \n" ); document.write( "plug value of x in (1) \n" ); document.write( "-2x-8y= 22 \n" ); document.write( "6-8y=22 \n" ); document.write( "-8y=22-6 \n" ); document.write( "-8y=16 \n" ); document.write( "y=-2 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |