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Find the exact solution to the system of equations. Check your answer algebraically. 1. y=x^2-6x+1 y+2x=6 2. 2x^2 - 4x = y +1 x+y=1
May 20th, 2015

1. y=x^2-6x+1 y+2x=6

x^2-6x+1 = -2x+6

x^2 - 4x - 5 = 0

(x - 5)(x + 1) = 0

x = 5, x = -1

2. 2x^2 - 4x = y +1 x+y=1 

y = 2x^2 - 4x - 1  y = -x + 1

2x^2 - 4x - 1 = -x + 1

2x^2 - 3x - 2 = 0

(2x + 1)(x - 2) = 0

2x = -1

x = -1/2

x = 2

May 20th, 2015

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