Answer:
No solution
Step-by-step explanation:
Lets start by simplifying everything out, and then try to get all of the x's on one side of the equation.
1/2x + 1/3x - 4 = 5/6(x+6)
Simplify and distributive property
5/6x - 4 = 5/6x + 5
Lets subtract 5/6x from both sides to try and get rid of the x from the right side of the equation. (Now, as you may already see, is we try to get all of the x's on one side of the equation, the x's will cancel out, and we will be left with no solution.)
5/6x - 4 - 5/6x = 5/6x + 5 - 5/6x
Simplify
-4 = 5
Because we ended up with something in the form a = b and a ≠ b, there is no solution. (If a = b, then there would be an infinite number of solutions.)
I hope you find this helpful. Let me know if anything in my answer confuses you. Happy studying.
