# How do you solve the following system?: x -9y =15, x -2y = -5

$x = - \frac{20}{7}$, $y = - \frac{75}{7}$

#### Explanation:

System of linear equations,

$x - 9 y = 15 \setminus \ldots \ldots . \left(1\right)$

$x - 2 y = - 5 \setminus \ldots \ldots . \left(2\right)$

Subtracting (2) from (1) we get

$x - 9 y - \left(x - 2 y\right) = 15 - \left(- 5\right)$

$- 7 y = 20$

$y = - \frac{20}{7}$

Setting $y = - \frac{20}{7}$ in (1), we get

$x = 15 + 9 y = 15 + 9 \left(- \frac{20}{7}\right) = - \frac{75}{7}$