How do you solve the system of equations #9x + y = 38# and #2x + 5y = 18#?

1 Answer
seol
Jul 30, 2017

#x=4,y=2#

Explanation:

#9x+y=38#
#2x+5y=18#

  • from first equation set up a function for variable #y# ...
    #y=-9x+38#
  • now plug that into the second equation...
    #2x+5(-9x+38)=18#
    #2x-45x+190=18#
    #-43x=-172# solving for #x# (divide)
    #x=4#
  • plugging into the function for #y#
    #y=-9(4)+38=-36+38=2#
    #y=2#
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