document.write( "Question 1051040: How do write a system of equations when the word problem says a product. Here is the word problem.
\n" ); document.write( "The difference of two numbers is 8; the product is 65. Find the two numbers. \n" ); document.write( "

Algebra.Com's Answer #666629 by jayreal(3) $\"\"$ $\"About$

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x - y = 8
\n" ); document.write( "x = (y+8)
\n" ); document.write( ":
\n" ); document.write( "the product is 65.
\n" ); document.write( "x*y = 65
\n" ); document.write( "replace x with (y+8)
\n" ); document.write( "y(y+8) = 65
\n" ); document.write( ":
\n" ); document.write( "y^2 + 8x - 65 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(y+13)(y-5) = 65
\n" ); document.write( "Two solutions
\n" ); document.write( "y = -13; then x = -13 + 8 = -5
\n" ); document.write( "y = +5; then x = 5 + 8 = +13 \n" ); document.write( "

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