You can put this solution on YOUR website!
Usually the first thing with the elimination method is get opposites lined up. With the fractions and decimals, however, this will not be simple. So the first thing we will do is eliminate the fractions and decimals.
Multiplying both sides of the first equation by 10 will eliminate the decimals. And multiplying both sides of the second equation by 14 will eliminate the fractions:
which simplify to:
Now that the fractions and decimals are gone we can more easily create lined-up opposites. Multiplying the first equation by -3 will create lined-up opposite y-terms:
which simplifies to:
After the opposites are lined up the next step is to add the two equations together:
With the y terms gone we can solve for x:
Now that we have x we can find y. Usually I recommend using one of the original equations at this point. It is the safest way to find the second variable. (Using an equation you created might be a problem if you've made a mistake somewhere along the way.) But with the x being a fraction and the original equations having decimals or fractions with different denominators, I'm going to be lazy and take a chance using of the later equations (without fractions or decimals). I'm going to use:
Substituting in our value for x:
which simplifies to:
Multiplying by 13 to eliminate the fraction:
Adding 33:
Dividing by -13:
(