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

Jun 11, 2018

$x = - 24 , y = 51$

#### Explanation:

multiply the second equation by 3

$\frac{3}{2} x + y = 15$

Now subtract the new equation from the first one.

$\frac{1}{2} x = - 12$

double it

$x = - 24$

put this into equation one

$- 48 + y = 3$

$y = 51$