document.write( "Question 225069: find two integers such that three times the larger minus four times the smaller is 7 and the larger is one less than two times the smaller
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Algebra.Com's Answer #168056 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Two integers, x & y; (x is larger)
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\n" ); document.write( "Write an equation for each phrase:
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\n" ); document.write( "\"two integers such that three times the larger minus four times the smaller is 7\"
\n" ); document.write( "3x - 4y = 7
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\n" ); document.write( "\"the larger is one less than two times the smaller\"
\n" ); document.write( "x = 2y - 1
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\n" ); document.write( "Use the above equation for substitution in the 1st equation; replace x:
\n" ); document.write( "3(2y-1) - 4y = 7
\n" ); document.write( "6y - 3 - 4y = 7
\n" ); document.write( "6y - 4y = 7 + 3
\n" ); document.write( "2y = 10
\n" ); document.write( "y = 5
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\n" ); document.write( "Find x:
\n" ); document.write( "x = 2y -1
\n" ); document.write( "x = 2(5) = 1
\n" ); document.write( "x = 9
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\n" ); document.write( "Check solution in the 1st statement
\n" ); document.write( "\"find two integers such that three times the larger minus four times the smaller is 7 \"
\n" ); document.write( "3(9) - 4(5) = 7
\n" ); document.write( "27 - 20 = 7 \n" ); document.write( "

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