# How do you solve the system 6x + y = 2  and 2x – 3y = –10 ?

May 11, 2018

$y = 3.2$
$x = - \frac{1}{5}$

#### Explanation:

$6 x + y = 2$ --- (1)
$2 x - 3 y = - 10$ --- (2)

From (1)

$6 x + y = 2$
$y = 2 - 6 x$ --- (3)

Sub (3) into (2)

$2 x - 3 \left(2 - 6 x\right) = - 10$
$2 x - 6 + 18 x = - 10$
$20 x = - 4$
$x = - \frac{1}{5}$ --- (4)

Sub (4) into (3)
$y = 2 - 6 x$
$y = 2 - 6 \times - \frac{1}{5}$
$y = 3.2$