document.write( "Question 525341: one number is 5 less than 2 times another. The product of the number is 63. Find the numbers \n" ); document.write( "

Algebra.Com's Answer #348060 by stanbon(75887) $\"\"$ $\"About$

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one number is 5 less than 2 times another. The product of the number is 63. Find the numbers
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\n" ); document.write( "Equations:
\n" ); document.write( "y = 2x+5
\n" ); document.write( "xy = 63
\n" ); document.write( "------
\n" ); document.write( "Substitute for \"y\" and solve for \"x\":
\n" ); document.write( "x(2x+5) = 63
\n" ); document.write( "2x^2+5x-63 = 0
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\n" ); document.write( "Factor:
\n" ); document.write( "(2x-9)(x+7) = 0
\n" ); document.write( "x = 9/2 or x = -7
\n" ); document.write( "------
\n" ); document.write( "Solve for \"y\":
\n" ); document.write( "If x = 9/2
\n" ); document.write( "y = 2x+5
\n" ); document.write( "y = 9+5 = 14
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\n" ); document.write( "If x = -7
\n" ); document.write( "y = 2x+5
\n" ); document.write( "y = 2*-7+5
\n" ); document.write( "y = -9
\n" ); document.write( "----
\n" ); document.write( "solutions: (9/2,14) and (-7,-9)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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