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) (Show Source): You can put this solution on YOUR website!
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
and if we simplify the 2nd we have:
It is apparent that we need to use elimination, specifically to eliminate the x variable.
So after subtracting the two equations we get:
Plug that back in to one of our original equations. Let's go with the 1st.
So our answer is (6,2) or
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