To find the point of intersection between the two equations, we can set them equal to each other:
-x + 6 = 3x - 2
Solve for x:
6 + 2 = 3x + x
8 = 4x
x = 2
Now plug x back into either equation to find the value of y:
Y = -2 + 6
Y = 4
Therefore, the point of intersection between the two equations is (2, 4).
Y= -x + 6
Y=3x -2
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