SOLUTION: Solve the following system by graphing and algebraic methods x 2 - y =3 x - y =3

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Question 93350: Solve the following system by graphing and algebraic methods

x 2 - y =3

x - y =3

Answer by jayanthihemkos@yahoo.com(87) About Me  (Show Source):
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Solve the following system by graphing and algebraic methods
x 2 - y =3
x - y =3
algebraic methods:
x^2 - y = 3 ---------(1)
x - y = 3 -----------(2)
From equation (2) , we have
y = x- 3
pluggin the value of y in equation (1)
x^2 -(x- 3) = 3
x^2 - x + 3 = 3
x^2 - x +3 -3 = 3-3
x^2 - x = 0
x(x-1) = 0
x = 0
x-1 = 0
x -1+1 = 1
x = 1
Hence x = 0 and x = 1 is the solution for the system of equation.

Graphic method
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2Cy+=++x%5E2+-+3+%2C+y+=+x+-3%29+
hene from the graph we can see that when x = 0 ,y= -3 and when x = 1 , y = -2