I puted all in img Click here
Originally Posted by autopimp
First, anything to the zeroth power is 1, so:
Now, and , so:
Cancelling the x's in the first fraction:
Now, , so:
Now we add the fractions by getting a common denominator, which is :
I am leaving the answer in this form because nothing will cancel upon multiplying the .
2.Originally Posted by autopimp
We need to remove the from the denominator. So I will multiply the numerator and denominator by :
We need to get a common denominator, which in this case is 15:
Now we multiply both sides of the equation by 15:
Let's simplify some of these radicals:
Once you get those, plug them into your original expression:
Then just collect like terms. My final answer was .
5.Originally Posted by autopimp
First, factor the denominators:
A good common denominator for this would be: . So:
By the way, you rarely want to multiply out the denominator. Just leave it like it is.
At this stage ALWAYS look to see if the numerator factors. In this case, it doesn't so we are done.
7. divided by
When you divide by a fraction, you are multiplying by the inverse of the fraction:
At this point, factor what you can, then terms will cancel.
6. This is similar to what I did in 1. Group the powers of 10 together and apply the exponent rules I listed in 1. I get 250000.Originally Posted by autopimp
For the substitution method we pick one equation to solve for one variable and put it into the remaining equation. I usually pick the easiest one to solve, so I'll solve the second equation for x:
Now we put this in as the value for x in the first equation:
This is now one equation in one unknown. Solve this for y and use your x equation to find x. I get (x,y)=(5,-2).