document.write( "Question 765598: Write in Algebraic Expression. Double the difference between X and Y is less than P. \n" ); document.write( "

Algebra.Com's Answer #466286 by Theo(13342) $\"\"$ $\"About$

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the equation is:
\n" ); document.write( "2 * (x - y) < p
\n" ); document.write( "you would need the values of 2 of the variables to be able to solve for the third.
\n" ); document.write( "example:
\n" ); document.write( "p = -32, x = 50, solve for y.
\n" ); document.write( "equation becomes:
\n" ); document.write( "2 * (50 - y) < -32
\n" ); document.write( "simplify to get:
\n" ); document.write( "100 - 2y < -32
\n" ); document.write( "add 2y to both sides of the equation and add 32 to both sides of the equation to get:
\n" ); document.write( "100 + 32 < 2y
\n" ); document.write( "simplify to get:
\n" ); document.write( "132 < 2y
\n" ); document.write( "divide both sides of the equation by 2 to get:
\n" ); document.write( "66 < 2y which is the same as y > 66
\n" ); document.write( "confirm by replacing y in the original equation with 67 which is > 66 to get:
\n" ); document.write( "x * (x - y) < p becomes:
\n" ); document.write( "2 * (50 - 67) < -32
\n" ); document.write( "simplify to get:
\n" ); document.write( "100 - 134 < -32
\n" ); document.write( "simplify further to get:
\n" ); document.write( "-34 < -32
\n" ); document.write( "since this is a true statement, the value of y = 67 which is > 66 is good.
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