How do you solve the following system?: #7x -3y =11, -9x -24y = -7#

2 Answers
Jun 24, 2018

Answer:

#x=19/13# and #y=-10/39#

Explanation:

#8*(7x-3y)-(-9x-24y)=8*11-(-7)#

#56x-24y+9x+24y=88+7#

#65x=95#, so #x=95/65=19/13#

Thus,

#7*19/13-3y=11#

#133/13-3y=11#

#-3y=10/13# or #y=-10/39#

Jun 24, 2018

Answer:

#x=19/13,y=-10/39#

Explanation:

Multiplying the first equation by #-8# and adding to the second we get

#-65x=-95#
so
#x=95/65=19/13#
plugging this in the first equation we get

#7*19/13-3y=11#
#133/13-11=3y#

#(133-143)/13=3y#

#-10/13=3y#

so

#y=-10/39#