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X = 2y+5
Y = (2x-3) (x+9)
How many ordered pairs of( x, y) Satisfy the system of equation above
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Substitute the expression for x = 2y+5 of the first equation into the second equation instead of "y". You will get
y = (2*(2y-5)-3)*((2y+5)+9).
Next simplify and solve this quadratic equation.
It is a standard procedure.