document.write( "Question 635352: Three times a first number is 2 more than the opposite of a second number. The difference of four times the first number and the second number is 5. Find the smaller of the two numbers. \n" ); document.write( "

Algebra.Com's Answer #400274 by mananth(16946) $\"\"$ $\"About$

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let the numbers be x & y\r
\n" ); document.write( "\n" ); document.write( "3x=2-y\r
\n" ); document.write( "\n" ); document.write( "3x+y =2..................1\r
\n" ); document.write( "\n" ); document.write( "4x-y=5...................2\r
\n" ); document.write( "\n" ); document.write( "Solve for x & y\r
\n" ); document.write( "\n" ); document.write( "3 x + y = 2 .............1
\n" ); document.write( "
\n" ); document.write( "4 x - y = 5 .............2
\n" ); document.write( "add the two equations
\n" ); document.write( "
\n" ); document.write( "3 x + y = 2
\n" ); document.write( "4 x - y = 5
\n" ); document.write( "Add the two equations
\n" ); document.write( "7x = 7
\n" ); document.write( "/ 7
\n" ); document.write( "x = 1
\n" ); document.write( "plug value of x in (1)
\n" ); document.write( "3 x + y = 2
\n" ); document.write( "3 + y = 2
\n" ); document.write( " y = 2 -3
\n" ); document.write( " y = -1
\n" ); document.write( " y = -1
\n" ); document.write( "-1 is the smaller number
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

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