SOLUTION: please help me solve this equation: solve x and y simultaneously x+2y =9 and 2x-2y=6

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Question 1021810: please help me solve this equation: solve x and y simultaneously
x+2y =9 and 2x-2y=6
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x+2y =9 and 2x-2y=6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
x+2y = 9
+
2x-2y = 6
3x = 15
x = 5
now let's solve for y:
5+2y = 9 subtract 5 on both sides
2y = 4 divide bothsides by 2
y = 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Check:
5+2(2) = 9
5+4 = 9 This one is correct
Next:
2x-2y = 6
2(5)-2(2) = 6
10-4 = 6 Also correct. We have the correct answers.
Happy learning
J