# How do you find the values of x and y given [(2x, y, -y)]=[(-10, 3x, 15)]?

Mar 29, 2017

Please see the explanation.

#### Explanation:

Given: $\left[\left(2 x , y , - y\right)\right] = \left[\left(- 10 , 3 x , 15\right)\right]$

Matching the first two elements of the two ordered triplicates:

$2 x = - 10$

$x = - 5$

Matching the second two elements of the two ordered triplicates:

$y = 3 x$

$y = 3 \left(- 5\right)$

$y = - 15$

The does not conflict with the third two elements of the the two ordered triplicates:

$- y = 15$

$y = - 15$