How do you solve the following linear system: y= 1/2x+3 , y= -5x-4 ?

May 29, 2018

$x = - \frac{14}{11}$

Explanation:

If one $y = \frac{1}{2} x + 3$ and the other $y = - 5 x - 4$ then that means that they both equal to each other because they're both $y$ equations.

$\frac{1}{2} x + 3 = - 5 x - 4$

and then you solve for x

$\frac{11}{2} x = - 7$

$11 x = - 14$

$x = - \frac{14}{11}$