document.write( "Question 1869: solving linear equation
\n" ); document.write( "(3x+5)/7 + (4x-9)/6 = 38x \n" ); document.write( "

Algebra.Com's Answer #694 by longjonsilver(2297) $\"\"$ $\"About$

You can put this solution on YOUR website!
Are you sure it is 38x?\r
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\n" ); document.write( "\n" ); document.write( "mutiply every term by 42, so that this cancels out the 6 and the 7 on the denominators\r
\n" ); document.write( "\n" ); document.write( " $\"42%28%283x%2B5%29%2F7%29+%2B+42%28%284x-9%29%2F6%29+=+42%2838x%29\"$
\n" ); document.write( " $\"6%283x%2B5%29+%2B+7%284x-9%29+=+42%2838x%29\"$
\n" ); document.write( "18x+30 + 28x-63 = 1596x
\n" ); document.write( "46x-33 = 1596x
\n" ); document.write( "-33 = 1550x\r
\n" ); document.write( "\n" ); document.write( "just re-writing this the other way gives 1550x = -33.\r
\n" ); document.write( "\n" ); document.write( "Hence x = -33/1550\r
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\n" ); document.write( "\n" ); document.write( "cheers
\n" ); document.write( "Jon \n" ); document.write( "

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