Question #ded82

1 Answer
marfre
Mar 18, 2017

The solution is the intersection point of the two lines #(2, -3)#

Explanation:

Multiply the second equation by #-2# and add it to the first equation to eliminate the #x#-term:

  1. #2x - 3y = 13#
  2. #-2x -4y = 8#
  3. Add equation 1 + equation 2: #-7y = 21#
  4. Divide by #-7# to solve for #y#: #y = 21/-7 = -3#
  5. Substitute #y# into equation 1 and solve for #x#:
    #2x -3(-3)=13#
    #2x +9 = 13#
    #2x = 4#
    #x = 2#

The solution is the intersection point of the two lines #(2, -3)#

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