document.write( "Question 371710: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
\n" ); document.write( "8x + 10y = -34\r
\n" ); document.write( "\n" ); document.write( "16x – 5y = -43
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Algebra.Com's Answer #264777 by Math-Help(7)\"\" \"About 
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Elimination method requires either the \"x\" or \"y\" term to get eliminated to solve for the other remaining unknown term.\r
\n" ); document.write( "\n" ); document.write( "Given 8x + 10y = -34
\n" ); document.write( "Given 16x - 5y = -43\r
\n" ); document.write( "\n" ); document.write( "Action: multiply 2nd equation by 2
\n" ); document.write( "2(16x - 5y = -43) ==> 32x - 10y = -86\r
\n" ); document.write( "\n" ); document.write( "2nd Action: add this solution to 1st equation to eliminate the \"y\" term
\n" ); document.write( " 8x + 10y = -34
\n" ); document.write( " +(32x - 10y = -86)\r
\n" ); document.write( "\n" ); document.write( "Sum: 40x + 0 = -120
\n" ); document.write( "Therefore 40x = -120
\n" ); document.write( "Divide both sides by 40: 40x/40 = -120/40
\n" ); document.write( "x = -3\r
\n" ); document.write( "\n" ); document.write( "Action: multiply 1st equation by 2
\n" ); document.write( "2(8x + 10y = -34) ==> 16x + 20y = -68\r
\n" ); document.write( "\n" ); document.write( "2nd Action: subtract the 2nd equation from this solution to eliminate the \"x\" term
\n" ); document.write( " 16x + 20y = -68
\n" ); document.write( " -(16x - 5y = -43)\r
\n" ); document.write( "\n" ); document.write( "Difference: 0 + 25y = -25 (the -25 comes from sign change of -43 to 43-68)
\n" ); document.write( "Therefore 25y = -25
\n" ); document.write( "Divide both sides by 25: 25y/25 = -25/25
\n" ); document.write( "y = -1\r
\n" ); document.write( "\n" ); document.write( "Solution: x = -3 and y = -1.\r
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