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

1 Answer
Apr 29, 2017

x=-7/19" " and " "y = -1/19

Explanation:

2x+5y=-1 " " stackrel (xx 3) rarr " " 6x+15y=-3

-5x-3y=2 " " stackrel (xx 5) rarr " " -25x-15y = 10
color(white)(XXXXXXXXXXXXX)underline(color(white)(XXXXXXXXXX))

color(white)(XXXXXXXXXXXXXXX)-19x = 7

color(white)(XXXXXXXXXXXXXXXXXX)darr

color(white)(XXXXXXXXXXXXXXXX)x = -7/19

Then from 2x+5y=-1 we find:

y = 1/5(-1-2x)

color(white)(y) = 1/5(-1-2(color(blue)(-7/19)))

color(white)(y) = -1/19