SOLUTION: twice the first number plus a second number is 42, and the first number minus the second number is -6. Find the number.

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Question 1102116: twice the first number plus a second number is 42, and the first number minus the second number is -6. Find the number.
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
2x + y = 42,
 x - y = -6.


Add the two equations. You will get

3x = 42 - 6 = 36  ====>  x = 36%2F2 = 12.


Then from the second equation  y = x + 6 = 12 + 6 = 18.


Answer.  x= 12,  y= 18.