SOLUTION: I'm having trouble solving this equation with fractions. I have to solve by linear combination. 2/3x+1/6y=2/3 −y=12−2x

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: I'm having trouble solving this equation with fractions. I have to solve by linear combination. 2/3x+1/6y=2/3 −y=12−2x       Log On


   

Question 984412: I'm having trouble solving this equation with fractions. I have to solve by linear combination.
2/3x+1/6y=2/3
−y=12−2x
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
You can clear the denominators, and then, if you know what to do with "linear combinations", you should be find.

(2/3)x+(1/6)y=2/3

6%28%282%2F3%29x%2B%281%2F6%29y%29=%282%2F3%29%2A6

4x%2By=4

The equivalent system is
system%284x%2By=4%2C2x-y=12%29.

Clearing the fractions in the first equation probably not immediately necessary for linear combinations. Would you form a square all-values matrix multiplied by a column variable matrix and equate this to an all-values column matrix?