# How do solve the following linear system?: -9x + 5y = 16 , -7x + y = -19 ?

Mar 14, 2016

Use method of simultaneous equations to get
$x = \frac{111}{26} \mathmr{and} y = \frac{283}{26}$.

#### Explanation:

In the second equation,
$y = 7 x - 19$.
Now substitute this fact into the first equation to get
$- 9 x + 5 \left(7 x - 19\right) = 16$
$\therefore - 9 x + 35 x = 16 + 95$
$\therefore x = \frac{111}{26}$.

Now substitute this back to find $y = 7 \left(\frac{111}{26}\right) - 19 = \frac{283}{26}$.