SOLUTION: how would I solve this system of equations: 7x+3y=12 3x+7y=6 I have the solution but could you write out the solution in full with details please?

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Question 326411: how would I solve this system of equations:
7x+3y=12
3x+7y=6
I have the solution but could you write out the solution in full with details please?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.7x%2B3y=12
2.3x%2B7y=6
From eq. 1,
3y=-7x%2B12
y=-%287%2F3%29x%2B4
Substitute into eq. 2,
3x%2B7%28-%287%2F3%29x%2B4%29=6
3x-%2849%2F3%29x%2B28=6
9x-49x%2B84=18
-40x=-66
highlight%28x=33%2F20%29
Then using eq.1,
231%2F20%2B3y=240%2F20
3y=9%2F20
highlight%28y=3%2F20%29