SOLUTION: Find the values of x and y that make the expression 5 + 4x(x-y) - x equal to zero. Explain how you got your answer.

Question 985207: Find the values of x and y that make the expression 5 + 4x(x-y) - x equal to zero. Explain how you got your answer.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
5 + 4x(x-y) - x = 0
expand the expression
5 + 4x^2 - 4xy - x = 0
rearrange the terms
4x^2 - 4xy - x + 5 = 0
this is a hyperbole
add 4xy to both sides of =
4xy = 4x^2 - x + 5
for x not = 0, divide both sides of = by 4x
y = ( 4x^2 - x + 5 ) / 4x
there are two solutions
x = 1, y = 2
x = 5, y = 5
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