# Which method do you use to solve the system of equations y=1/4x-14 and y=19/8x+7?

Jun 5, 2018

$x = - \frac{168}{17} , y = - \frac{280}{17}$

#### Explanation:

From both equations we get
$\frac{1}{4} x - 14 = \frac{19}{8} \cdot x + 7$
so we get
$\frac{1}{4} x - \frac{19}{8} x = 21$
$- \frac{17}{8} x = 21$
$x = - \frac{168}{17}$
so
$y = \frac{1}{4} \cdot \left(- \frac{168}{17}\right) - 14 = - \frac{280}{17}$