SOLUTION: Write in Algebraic Expression. Double the difference between X and Y is less than P.

Question 765598: Write in Algebraic Expression. Double the difference between X and Y is less than P.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the equation is:
2 * (x - y) < p
you would need the values of 2 of the variables to be able to solve for the third.
example:
p = -32, x = 50, solve for y.
equation becomes:
2 * (50 - y) < -32
simplify to get:
100 - 2y < -32
add 2y to both sides of the equation and add 32 to both sides of the equation to get:
100 + 32 < 2y
simplify to get:
132 < 2y
divide both sides of the equation by 2 to get:
66 < 2y which is the same as y > 66
confirm by replacing y in the original equation with 67 which is > 66 to get:
x * (x - y) < p becomes:
2 * (50 - 67) < -32
simplify to get:
100 - 134 < -32
simplify further to get:
-34 < -32
since this is a true statement, the value of y = 67 which is > 66 is good.

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