SOLUTION: Show that the X solutions of the simultaneous equations Y = X - 2 xy = 3 Are solutions of the equation X(squared) - 2x

SOLUTION: Show that the X solutions of the simultaneous equations Y = X - 2 xy = 3 Are solutions of the equation X(squared) - 2x - 3 = 0

Question 1002185: Show that the X solutions of the simultaneous equations
Y = X - 2
xy = 3
Are solutions of the equation
X(squared) - 2x - 3 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Note: to say "x squared" we type "x^2"

x*y = 3 ... start with the second equation

x*(x-2) = 3 ... replace every y with (x-2). This is valid because the first equation is y = x-2

x*x + x*(-2) = 3 ... distribute

x^2 - 2x = 3 ... multiply

x^2 - 2x - 3 = 0 ... subtract 3 from both sides
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