document.write( "Question 126659: Solve the linear equation, give its solution set, and state whether the equation is conditional, identity, or inconsistent.\r
\n" ); document.write( "\n" ); document.write( "1/2(p+5)-4 = 1/3(2p-1)
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Algebra.Com's Answer #92808 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29%28p%2B5%29-4=%281%2F3%29%282p-1%29\" Start with the given equation\r
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\n" ); document.write( "\n" ); document.write( "\"%286%29%28%281%2F2%29%28p%2B5%29-4%29=%286%29%28%281%2F3%29%282p-1%29%29\" Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)\r
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\n" ); document.write( "\n" ); document.write( "\"3%28p%2B5%29-24=2%282p-1%29\" Distribute and multiply the LCM to each side\r
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\n" ); document.write( "\n" ); document.write( "\"3p%2B15-24=4p-2\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"3p-9=4p-2\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"3p=4p-2%2B9\"Add 9 to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"3p-4p=-2%2B9\" Subtract 4p from both sides\r
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\n" ); document.write( "\n" ); document.write( "\"-p=-2%2B9\" Combine like terms on the left side\r
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\n" ); document.write( "\n" ); document.write( "\"-p=7\" Combine like terms on the right side\r
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\n" ); document.write( "\n" ); document.write( "\"p=%287%29%2F%28-1%29\" Divide both sides by -1 to isolate p\r
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\n" ); document.write( "\n" ); document.write( "\"p=-7\" Divide\r
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\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "\n" ); document.write( "So our answer is \"p=-7\" \r
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\n" ); document.write( "\n" ); document.write( "Since we get only one answer, the equation is conditional. In other words, the equation is only true if \"p=-7\".
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