One number is twice another number and their sum is 36. which system of equations represents the word problem? 2x y = 36 and x y = 36 x y = 36 and y = 2x y = 2x and 2x y = 36

Let the numbers be x and y.  Write out mathematical equations:

y=2x         and             x+y=36

You were not asked to solve this problem, but should do so for practice.  Subst. 2x for y in the 2nd equation:  x + 2x = 36;    3x = 36;     x = 12.  Find y.  Then check your solution.

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