SOLUTION: What is the difference of the values of the two variables in this system of equations? y = 2x + 1 x + 3y = 10

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Question 1172228: What is the difference of the values of the two variables in this system of equations?
y = 2x + 1
x + 3y = 10
Answer by ikleyn(52833) About Me  (Show Source):
You can put this solution on YOUR website!
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Substitute  y = 2x+1  from the first equation to the second one


    x + 3*(2x+1) = 10

    
    x + 6x + 3 = 10

      7x       = 10-3 = 7

       x              = 7/7 = 1.


Then  from the first equation  y = 2*1 + 1 = 3.


The difference  x - y  is  1 - 3 = -2.

The difference  y - x  is   3 - 1 = 2.

Solved.