Question #ada15

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Answer 1 · 2016-12-09T21:27:27

#x = -2# and #y = -3#

Step 1) Solve the second equation for #x#:

#x + y - y = -5 - y#

#x + 0 = -5 - y#

#x = -5 - y#

Step 2) Substitute #-5 - y# for #x# in the first equation and solve for #y#:

#3(-5 - y) - 2y = 0#

#-15 - 3y - 2y = 0#

#15 - 15 - 5y = 0 + 15#

#0 - 5y = 15#

#-5y = 15#

#(-5y)/(-5) = 15/(-5)#

#y = -3#

Now substitute #-3# for #y# in the solution to the second equation in Step 1) and calculate #x#.

#x = -5 - (-3)#

#x = -5 + 3#

#x = -2#