common point Find the common point of the lines x+y=4 and 2x=y-2.  

Expert Answers

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At the common point of the lines x+y=4 and 2x=y-2, the x and y coordinates are equal.

2x = y - 2

=> y = 2x + 2

substitute in x + y = 4

=> x + 2x + 2 = 4

=> 3x = 2

=> x = 2/3

y = 4 - 2/3 = 10/3

The common point of the lines is (2/3, 10/3)

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