SOLUTION: 4x-2y=2 4x+y=11 Solve the system of equations using subtraction

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Question 1103615: 4x-2y=2
4x+y=11
Solve the system of equations using subtraction
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
4x-2y=2
4x+y=11
--------------- Subtract

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
.
4x - 2y =  2,    (1)
4x +  y = 11.    (2)
----------------------------Subtract eq(2) from eq(1) (both sides). You will get

-2y - y = 2 - 11,   or

-3y = -9  ====>  y = %28-9%29%2F%28-3%29 = 3.


Then from eq(1),  4x = 2 + 2*y = 2 + 2*3 = 8  ====>  x = 8%2F4 = 2.


Answer.  The solution is  x= 2,  y= 3.