# How do you find the values of x and y given [(x, y)]=[(2y, 2x-6)]?

Dec 8, 2016

$x = 4 , y = 2$

#### Explanation:

corresponding coordinate must be equate. It means:
$x = 2 y \ldots . \left(i\right) \mathmr{and} y = 2 x - 6. \ldots \left(i i\right)$
putting the value of 'ii' in 'i' we have
$x = 2 \left(2 x - 6\right)$
$x = 4 x - 12$
$3 x = 12$
$x = \frac{12}{3}$
$x = 4$

Now put it into 'i'
$x = 2 y$
$4 = 2 y$
$y = \frac{4}{2}$
$y = 2$