Question

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

Answer 1

Answer:  (0, 0)

Step-by-step explanation:

ax = by         ay = 6x

$\dfrac{ax}{b}=y\qquad \quad y=\dfrac{6x}{a}$

Use substitution:

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

Substitute x = 0 to solve for y:

$\dfrac{ax}{b}=y \\\\\dfrac{a(0)}{b}=y\\\\\large\boxed{0=y}$