What is the answer for this and how do yo uget it?
I initially thought this would be fairly simple but i got x=35/6 rather than the answer, which was 1 and 7/11.
NOTE, IF THE LAST NUMERATOR DOES NOT SAY 8x-2x, THEN THIS IS NOT THE ANSWER!!! I thought it said 8x-2x so i went with that...
For this problem, you have to get all of the denominators to be the same, so you have to multiply each equation by a specific number so that each denominator will have a most common multiple. In this case, I think it is safe to say that the common denominator should be 36, meaning that the equation should be this after simplification:
(24x-30)-(18x+45)=32x-8x
Now just solve for x...
24x-18x-30-45=24x
-75=18x
x=(-25/6)
Hope this is right, but the equation did not come out really clear on my computer, but I hope I helped
Either the answer in the back of the book is wrong, or the problem was copied down wrong. I plugged in x = 1 and it is not a solution.
$\displaystyle \begin{aligned}
\frac{4x - 5}{6} - \frac{2x + 5}{4} &= \frac{8x}{9} - 2x \\
\frac{4 - 5}{6} - \frac{2 + 5}{4} &= \frac{8}{9} - 2 \\
-\frac{1}{6} - \frac{7}{4} &= \frac{8}{9} - 2 \\
-\frac{6}{36} - \frac{63}{36} &= -\frac{10}{9} \\
-\frac{69}{36} &\neq -\frac{40}{36} ???
\end{aligned}$
01