# How do you solve the following linear system: 3x - 6y = 9 , 6y = 4x + 15 ?

Jun 11, 2018

$x = - 24$
$y = - \frac{27}{2}$

#### Explanation:

$3 x - 6 y = 9$ --- (1)
$6 y = 4 x + 15$ --- (2)

From (1)
$3 x - 6 y = 9$
$x - 2 y = 3$
$x = 2 y + 3$ --- (3)

Sub (3) into (2)
$6 y = 4 \left(2 y + 3\right) + 15$
$6 y = 8 y + 12 + 15$
$- 2 y = 27$
$y = - \frac{27}{2}$ --- (4)

Sub (4) into (3)
$x = 2 \left(- \frac{27}{2}\right) + 3$
$x = - 27 + 3$
$x = - 24$