document.write( "Question 123342: 4. Find values for m and b in the following system so that the solution to the system is (-3, 4).\r
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\n" ); document.write( "\n" ); document.write( " 5x + 7y = b
\n" ); document.write( " mx + y = 22
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Algebra.Com's Answer #90527 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
# 4\r
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\n" ); document.write( "\n" ); document.write( "If we have the solution (-3,4) , this means that \"x=-3\" and \"y=4\"\r
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\n" ); document.write( "\n" ); document.write( "Let's solve for b:\r
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\n" ); document.write( "\n" ); document.write( "\"5x%2B7y=b\" Start with the first equation\r
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\n" ); document.write( "\n" ); document.write( "\"5%28-3%29%2B7%284%29=b\" Plug in \"x=-3\" and \"y=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"-15%2B28=b\" Multiply 5 and -3 to get -15. Multiply 7 and 4 to get 28. \r
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\n" ); document.write( "\n" ); document.write( "\"b=13\" Add -15 to 28 to get 13\r
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\n" ); document.write( "\n" ); document.write( "So our first answer is \"b=13\" \r
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\n" ); document.write( "\n" ); document.write( "Now let's solve for m:\r
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\n" ); document.write( "\n" ); document.write( "\"mx%2By=22\" Start with the second equation\r
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\n" ); document.write( "\n" ); document.write( "\"m%28-3%29%2B%284%29=22\" Plug in \"x=-3\" and \"y=4\"\r
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\n" ); document.write( "\n" ); document.write( "\"-3m%2B4=22\" Multiply m and -3 to get \"-3m\". \r
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\n" ); document.write( "\n" ); document.write( "\"-3m=18\" Subtract 4 from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"m=-6\" Divide both sides by -3\r
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\n" ); document.write( "\n" ); document.write( "So our second answer is \"m=-6\" \r
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\n" ); document.write( "\n" ); document.write( "Summary:\r
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\n" ); document.write( "\n" ); document.write( "So our answers are:\r
\n" ); document.write( "\n" ); document.write( " \"b=13\" and \"m=-6\" \r
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