SOLUTION: I am doing a multi-step equation with variables on both sides. I tried as far as I could but am not sure if my next step will be correct. Here is the problem and my steps until I g

Algebra ->  Expressions-with-variables -> SOLUTION: I am doing a multi-step equation with variables on both sides. I tried as far as I could but am not sure if my next step will be correct. Here is the problem and my steps until I g      Log On


   

Question 348801: I am doing a multi-step equation with variables on both sides. I tried as far as I could but am not sure if my next step will be correct. Here is the problem and my steps until I got stuck:
7-3r=r-4(2+r)
7-3r=r-8+4r

Thank you very much. As you can tell I used the distributive property but am not sure what to do now. One thing I know for certain is that my teacher said that our solution must be found by getting rid of the lowest valued variable first or else it is wrong, if that helps your solution. Thank you!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

7-3r=r-4%282%2Br%29 Start with the given equation.


7-3r=r-8-4r Distribute.


7-3r=-3r-8 Combine like terms on the right side.


-3r=-3r-8-7 Subtract 7 from both sides.


-3r%2B3r=-8-7 Add 3r to both sides.


0r=-8-7 Combine like terms on the left side.


0r=-15 Combine like terms on the right side.


0=-15 Simplify.


Since this equation is never true for any r value, this means that there are no solutions.


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim