# How do you solve the following system:  7x - y = 10 , 5x-9y=-23 ?

Feb 27, 2016

here is how,

#### Explanation:

$7 x - y = 10. . . . . . . . . . . . . . . . . . . \left(i\right)$
$5 x - 9 y = - 23. . . . . . . . . . . . . . . \left(i i\right)$

$5 \times \left(i\right) - 7 \times \left(i i\right) \implies$
$\cancel{35 x} - 5 y = 50$
$\cancel{35 x} - 63 y = - 161$
$\to 58 y = 211$
$\to y = \frac{211}{58}$

$x = \frac{113}{58}$