Question

The co ordinates of the point where lines ax = by and ay=6x intersects are

Answer 1

Answer: (0, 0)

Explanation:

ax = by ay = 6x

`(ax)/(b)=y\qquad \quad y=(6x)/(a)`

Use substitution:

`(ax)/(b)=(6x)/(a)\\\\\\\text{Cross Multiply:}\\a^2x=6bx\\\\\\\text{Solve for x:}\\a^2x-6bx=0\\x(a^2-6b)=0\\x=(0)/(a^2-6b)\\\large\boxed{x=0}`

Substitute x = 0 to solve for y:

`(ax)/(b)=y \\\\(a(0))/(b)=y\\\\\large\boxed{0=y}`