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

1 Answer
Apr 29, 2017

Answer:

#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#