Saturday, August 7, 2010

Algebra I question ((5y-)-(-4y+6)=3) by Marquitta

Hi, Marquitta.


I’m assuming your question is how to solve this problem for y. Let me give you a similar question to walk you through the challenging parts of this equation.

Consider:                                                 (3x)-(-8x+2)=4, solve for x

The first thing I’d want to do is eliminate that irritating double negative. So, I’m going to rewrite the problem.

                                                                       (3x)-1(-8x+2) = 4

When you recognize that there is really a (-1) multiplying the expression (-8x-2), you can see that we can go ahead and use the distributive property to make those negatives go away:



                                                     (3x)-1(-8x+2)=4            -1( -8x) = 8x

                                                                                          -1(2) = -2
                                                     3x + 8x -2 = 4

Now, we can combine like terms and solve:

                                         3x + 8x -2 = 4         3x + 8x = 11x 
                                                                 
                                         11x -2 = 4              add 2 to both sides

                                         11x=6                   divide by the coefficient of x, 11

                                           x = 6/11            fractional answer!

Your problem is very similar. If you get stuck, just do what I did. The numbers are different, but the process is exactly the same.

Let me know if you need more help! Thanks for the question!



Mrs. Young