document.write( "Question 114737: Solve by elinimation
\n" ); document.write( "1/3x+2/1=2/1
\n" ); document.write( "2/3x-3/5y=1/5
\n" ); document.write( "Solve by elinimation
\n" ); document.write( "x-y=-13
\n" ); document.write( "9x-4y=-97
\n" ); document.write( "Solve by substitution
\n" ); document.write( "x+y=7
\n" ); document.write( "y=x-1 \n" ); document.write( "

Algebra.Com's Answer #83495 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
1.
\n" ); document.write( "Solve by elimination: \r
\n" ); document.write( "\n" ); document.write( " $\"%281%2F3%29x%2B2%2F1=2%2F1\"$ ЕЕЕЕЕЕ...(1)ЕЕmultiply both sides by $\"3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%282%2F3%29x-%283%2F5%29y=1%2F5\"$ ЕЕЕЕЕЕ...(2) ЕЕmultiply both sides by $\"3\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%281%2F3%293x+%2B+3%2A2%2F1+=+3%2A2%2F1\"$ ЕЕЕЕЕЕ...(1) \r
\n" ); document.write( "\n" ); document.write( " $\"%282%2F3%293x+-+%283%2F5%293y+=+3%2A1%2F5\"$ ЕЕЕЕЕЕ...(2) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+6=++6\"$ ЕЕЕЕЕЕ...(1) ЕЕ..Е multiply both sides by $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x+-+%289%2F5%29y+=+3%2F5\"$ ЕЕЕЕЕЕ...(2) \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"2x+%2B+12+=++12\"$ ЕЕЕЕЕЕ...(1)Е subtract (2) from (1)\r
\n" ); document.write( "\n" ); document.write( " $\"2x+-+%289%2F5%29y+=+3%2F5\"$ ЕЕЕЕЕЕ...(2)\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( " $\"2x+%2B+12+=++12\"$ ЕЕЕЕЕЕ...(1)\r
\n" ); document.write( "\n" ); document.write( "- $\"2x+-+%289%2F5%29y+=+3%2F5\"$ ЕЕЕЕЕЕ...(2)
\n" ); document.write( "---------------------------------\r
\n" ); document.write( "\n" ); document.write( " $\"2x-2x%2B12-%28-%289%2F5%29y%29+=+12+%96+3%2F5\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"12+%2B%289%2F5%29y+=+12+%963%2F5\"$ Е.move $\"12\"$ from the left to the right\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%289%2F5%29y+=+12+-%2812%2B3%2F5%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%289%2F5%29y+=+-%283%2F5%29\"$ .......divide $\"-3%2F5\"$ by $\"9%2F5\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y+=+-%283%2F5%29%2F%289%2F5%29\"$ .......simplify\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y+=+-%283%2A5%29%2F%289%2A5%29\"$ .......\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y+=+-1%2F3\"$ .......\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( "Solve by elimination:\r
\n" ); document.write( "\n" ); document.write( " $\"x-y=-13\"$ ЕЕЕЕЕЕ...(1) ЕЕ..Е multiply both sides by $\"9\"$
\n" ); document.write( " $\"9x-4y=-97\"$ ЕЕЕЕЕЕ...(2)\r
\n" ); document.write( "\n" ); document.write( " $\"9x+-+9y+=+-117\"$ ЕЕЕЕЕЕ...(1) Е. subtract (2) from (1)
\n" ); document.write( "- $\"9x-4y=-97\"$ ЕЕЕЕЕЕ...(2)
\n" ); document.write( "------------------------------------------
\n" ); document.write( " $\"9x+%96+9x+%2B+y+%96+%28-4y%29+=+-+117+%96+%28-97%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+y+%2B+4y+=+-+117+%2B+97\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+5y+=+-20\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+5y+=+-20\"$ ЕЕЕЕЕ.divide both sides by $\"5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+%285%2F5%29y+=+-%2820%2F5%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"+y+=+-+4\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "3.\r
\n" ); document.write( "\n" ); document.write( "Solve by substitution:\r
\n" ); document.write( "\n" ); document.write( " $\"x%2By=7\"$ ЕЕЕЕЕЕ...(1)ЕЕЕ substitute (2) in (1)
\n" ); document.write( " $\"y=x-1\"$ ЕЕЕЕЕЕЕ(2)\r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+%28x-1%29+=+7\"$ ЕЕЕЕЕЕ...(1)ЕЕЕ
\n" ); document.write( " $\"x+%2B+x-1+=+7\"$ ЕЕЕЕЕЕ...(1)ЕЕЕ
\n" ); document.write( " $\"2x+-1+=+7\"$ ЕЕЕЕЕЕ...(1)ЕЕЕ move $\"-1\"$ from the left to the right
\n" ); document.write( " $\"2x+=+7+%2B+1\"$ ЕЕЕЕЕЕ...(1)ЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"2x+=+8\"$ ЕЕЕЕЕЕ...(1)ЕЕЕ divide both sides by $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%282%2F2%29x+=+8%2F2\"$ ЕЕЕЕЕЕ...(1)ЕЕЕ\r
\n" ); document.write( "\n" ); document.write( " $\"x+=++4\"$ ЕЕЕЕЕЕ...(1)ЕЕЕ now substitute $\"x+=++4\"$ in (2)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=+x-1\"$ ЕЕЕЕЕЕЕ(2)
\n" ); document.write( " $\"y=+4-1\"$ ЕЕЕЕЕЕЕ(2)
\n" ); document.write( " $\"y=+3\"$ ЕЕЕЕЕЕЕ(2)\r
\n" ); document.write( "\n" ); document.write( "So, your solution is:\r
\n" ); document.write( "\n" ); document.write( " $\"x+=++4\"$ and $\"y=+3\"$
\n" ); document.write( " \n" ); document.write( "

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