# How do you solve the linear system of equations 3x-2y=7 and 9x+6y=14?

Apr 6, 2018

$y = - \frac{7}{12}$
$x = \frac{35}{18}$

#### Explanation:

$3 x - 2 y = 7$ --- (1)
$9 x + 6 y = 14$ --- (2)

$\left(1\right) \times 3$
$\left(3 x - 2 y\right) \times 3 = 21$
$9 x - 6 y = 21$ --- (3)

(2) + (3)
$18 x = 35$
$x = \frac{35}{18}$ --- (4)

Sub (4) into (1)

$3 \times \frac{35}{18} - 2 y = 7$
$\frac{35}{6} - 7 = 2 y$
$- \frac{7}{6} = 2 y$
$y = - \frac{7}{12}$