Solve the system by the elimination method. check your work. x - 3y = 0 3y - 6 = 2x { (-6, - 1/2) } { (-6, - 2) } { (-2, - 6) }

Doing process of elimination can take a long time, especially if you do not have answers to chose from.

I would start by getting x by itself in one of the equations. The easiest way to go about doing this is changing x - 3y = 0 to

x = 3y.

Now that we know that x equals 3y, we can replace all the x's in the other equation with 3y. This makes the equation

3y - 6 = 2 (3y), now we need to combine like terms. Multiply 2 and 3y, to get 3y - 6 = 6y, and then subtract 3y from both sides to get - 6 = 3y. Divide both sides by 3, and then get that - 2 = y in other words y = - 2. After you know what y equals, plug y into one of the equations and solve for x. I did

x - 3 (-2) = 0. Multiply - 3 by - 2, and get x - 6 = 0. Then add six to both sides and then you get that x = 6.

Plug both values into the equation to check the answer.