SOLUTION: I have two more problems, but of course, I have to do the One problem per submission, so stick with me. 3x+6y=12 3x+y=8 Both are in the same problem. Thanks so much!

Algebra ->  Systems-of-equations -> SOLUTION: I have two more problems, but of course, I have to do the One problem per submission, so stick with me. 3x+6y=12 3x+y=8 Both are in the same problem. Thanks so much!      Log On


   

Question 1154405: I have two more problems, but of course, I have to do the One problem per submission, so stick with me.
3x+6y=12
3x+y=8
Both are in the same problem.
Thanks so much!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B6y=12.....eq.1
3x%2By=8......eq.2
------------------------------subtract eq.2 from eq.1
3x%2B6y-%283x%2By%29=12-8
cross%283x%29%2B6y-cross%283x%29-y=4
6y-y=4
5y=4
highlight%28y=4%2F5%29 or y=0.8

go to
3x%2By=8......eq.2, substitute y
3x%2B4%2F5=8......solve for x

3x=8-4%2F5
3x=40%2F5-4%2F5
3x=36%2F5
x=%2836%2F5%29%2F3
x=36%2F%285%2A3%29
x=cross%2836%2912%2F%285%2Across%283%29%29
highlight%28x=12%2F5%29 or y=2.4