document.write( "Question 549767: Hi, I am completely confused on how to do this equation. Here's the equation:\r
\n" ); document.write( "\n" ); document.write( "3x+2y=A
\n" ); document.write( "5x+y=B\r
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\n" ); document.write( "\n" ); document.write( "I have tried to work the problem out and I don't even know how to start.I have to solve this by the multiplication method to find x and y. Is there anyway you could help me please? Thanks!
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Algebra.Com's Answer #358035 by mathie123(224)\"\" \"About 
You can put this solution on YOUR website!
\"3x%2B2y=A\" (1)
\n" ); document.write( "\"5x%2By=B\" (2)\r
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\n" ); document.write( "\n" ); document.write( "There are many ways to do this, elimination, substitution, matrix..... I will use the elimination method (multiplication method). \r
\n" ); document.write( "\n" ); document.write( "I will eliminate the y variable (although it doesn't matter which one you choose).
\n" ); document.write( "I will multiply Equation (1) by the constant in front of y in Equation (2) (which is 1). this does not change the equation. \r
\n" ); document.write( "\n" ); document.write( "I will then multiply the equation (2) by the constant in front of the y in equation (2) (which is 2). This leaves:
\n" ); document.write( "\"10x%2B2y=2B\" (3)\r
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\n" ); document.write( "\n" ); document.write( "Now subtracting Equation (3) from Equatin (1) we are left with:
\n" ); document.write( "\"%283x%2B2y%29-%2810x%2B2y%29=A-2B\"
\n" ); document.write( "\"-7x=A-2B\"
\n" ); document.write( "And solving for x we get:
\n" ); document.write( "\"x=%28A-2B%29%2F-7\"\r
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\n" ); document.write( "\n" ); document.write( "Now substituting this value for x into Equation (2) (Note: it doesn't matter where you sub this in, I choose equation (2) as y is already without a constant)
\n" ); document.write( "\"5%2A%28%28A-2B%29%2F-7%29%2By=B\"
\n" ); document.write( "\"y=B-5%2A%28%28A-2B%29%2F-7%29\"
\n" ); document.write( "\"y=B-5%2A%28%28A%2F-7%29-%282B%29%2F-7%29%29\"
\n" ); document.write( "\"y=B%2B%285%2F7%29%2AA%2B%282%2F7%29%2AB\"
\n" ); document.write( "\"y=%287%2F7%29%2AB%2B%285%2F7%29%2AA%2B%282%2F7%29%2AB\"
\n" ); document.write( "\"y=%289%2F7%29%2AB%2B%285%2F7%29%2AA\"\r
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\n" ); document.write( "Hopefully this helps a bit -- let me know if you are still unsure about anything
\n" ); document.write( "Romans 5:8\r
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