Question

The point of interaction of the lines y=3x and x=3y is

Answer 1

Answer:

origin or (0,0)

Step-by-step explanation:

since the lines have no y intercept, their point of intersection will be (0,0). To further illustrate this, we can substitute the value of one of the lines into the other

$y = 3x \\ x = 3y \\ putting \: x \: in \: first \: eq \\ y = 3(3y) \\ y = 9y \\ y - 9y = 0 \\ - 8y = 0 \\ y = 0 \\ putting \: y \: in \: first \: eq \\ 0 = 3x \\ x = 0$

Hence, point of intersection should be (0,0)

Answer 2

Answer:

0,0 or the Origin

Step-by-step explanation:

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as the equation of the line y=kx and x=ky always passes through the origin, where k is any number. Thus the two equation lines pass through the origin and meet there.