The Solution set 1 , 2 , 3, 4 matches with equations 4 , 1 , 2 , 3
The system of equations are the set of equations that have common solution.
The set of equations given are
y+5 = x² - 3x
2x +y = 1
On subtracting equation 1 from 2
5 - 2x = x² -3x -1
x² -x -6 = 0
(x-3)(x +2) = 0
x = 3 , -2
At x = 3 , -2; y = -5 , 5
The set of equation are
y -17 = x²-9x
-x +y =1
-17 +x = x² -9x -1
x²-10x +16 = 0
x² - 8x -2x +16 = 0
(x -8) (x-2) = 0
at x = 2 ,8 ; y = 3 ,9
The set of equation is
y +12 = x²+x
x +y =3
12 - x = x²+x -3
x²+2x -15=0
x² +5x -3x -15 = 0
x(x+5) -3(x+5) = 0
(x-3)(x+5) = 0
x = 3 ,-5
At x = 3 , -5 , y = 0,8
The set of equation is
y-15 = -x² +4x
x +y = 1
-15 -x = -x²+4x -1
x²-5x -14 = 0
x² -7x +2x -14 = 0
x(x-7) +2(x-7) = 0
(x +2) (x-7) = 0
x = -2 , 7
at x = -2 , 7 ; y = 3 ,-6
Therefore the Solution set 1 , 2 , 3, 4 matches with equations 4 , 1 , 2 , 3
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