Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I'.
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Consider the given equations:
(Equation 1)
(Equation 2)
(Equation 3)
Adding equations 1 and 3, we get
So, we get (Equation 4)
Multiplying equation 3 by '6', we get
(Equation 5)
Subtracting equation 5 from equation 2, we get
(Equation 6)
Multiplying equation 4 by '21' and adding it to equation 6, we get
So, z = -5
Since,
So, y=-5
Now,
So, x = -4
Therefore, x = -4, y= -5 and z= -5 are the solutions to the given equations.