document.write( "Question 927113: FIND TWO NUMBERS IF THREE TIMES THE SECOND NUMBER EXCEEDS SEVEN TIMES THE FIRST BY 3.FIVE TIMES THE FIRST INCREASED BY ONE IS EQUAL TO TWICE THE SECOND \n" ); document.write( "

Algebra.Com's Answer #562686 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "let numbers be $\"x\"$ and $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"3y=7x%2B3\"$ ....eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"5x%2B1=2y\"$ ....eq.2
\n" ); document.write( "___________________________\r
\n" ); document.write( "\n" ); document.write( " $\"5x%2B1=2y\"$ ....eq.2...solve for $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%285%2F2%29x%2B1%2F2=y\"$ ....substitute in eq.1\r
\n" ); document.write( "\n" ); document.write( " $\"3%28%285%2F2%29x%2B1%2F2%29=7x%2B3\"$ ....eq.1.solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%2815%2F2%29x%2B3%2F2=7x%2B3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"7.5x=7x%2B3-1.5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"7.5x-7x=1.5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"0.5x=1.5\"$ ....both sides multiply by $\"10\"$ to get whole numbers\r
\n" ); document.write( "\n" ); document.write( " $\"5x=15\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=15%2F5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x=3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "now, find $\"y\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"y=%285%2F2%29x%2B1%2F2\"$ ...plug in $\"3\"$ for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=%285%2F2%293%2B1%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=%2815%2F2%29%2B1%2F2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=7.5%2B0.5\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28y=8%29\"$
\n" ); document.write( " \n" ); document.write( "

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