# How do you solve 2x-6y=40 and 7x+60=y using substitution?

Jun 23, 2016

$x = - 10$ and $y = - 10$

#### Explanation:

As $7 x + 60 = y$, we can write $2 x - 6 y = 40$ by substituting value of $y$ as

$2 x - 6 \left(7 x + 60\right) = 40$

or $2 x - 42 x - 360 = 40$

or $- 40 x = 40 + 360 = 400$

Hence $x = \frac{400}{-} 40 = - 10$

and $y = 7 \times \left(- 10\right) + 60 = - 10$