SOLUTION: Solving the following equation using substitution or elimination method x/3+y/2=3 x+y=10-x+2y

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Question 442315: Solving the following equation using substitution or elimination method
x/3+y/2=3
x+y=10-x+2y
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
+x%2F3+%2B+y%2F2+=+3
+x+%2By++=+10+-+x+%2B+2y
It is within the rules to multiply by some number to make easier equations to work with. Notice that the GCD of 2 and 3 in the first equation is 6. Let's multiply by 6 so we get integer values.
Then we have +2x+%2B+3y+=+18+
and if we simplify the 2nd we have: 2x+-y+=10
It is apparent that we need to use elimination, specifically to eliminate the x variable.
So after subtracting the two equations we get:
+0x+%2B4y+=+8
y+=+2
Plug that back in to one of our original equations. Let's go with the 1st.
x%2F3++%2B+2%2F2+=3
x%2F3+%2B+1+=+3
x%2F3+=2
x=6
So our answer is (6,2) or +x=6+ y=2