How do you solve 2x + 5y = 13 and y = –2x + 17?

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Answer 1 · 2015-10-15T05:07:56

#y = -1#
#x = 9#

equation1 = 2x + 5y = 13
equation2 = y = -2x + 17

Rearrange Equation2

2x + y = 17

Now,

Equation 1:
2x + 5y = 13

Equation 2:
2x + y = 17

Subtract Equation2 from Equation1

4y = -4

#y = -1#

Put this value of y in Equation1 or Equation2

Putting in Equation1
#2x + 5(-1) = 13#
#2x - 5 = 13#
#2x = 13 + 5#
#2x = 18#
#x = 9#