Respuesta :
Answer:
m = 2
Step-by-step explanation:
If you're dividing 10 by 3m-5, please enclose the 3m - 5 inside parentheses to eliminate any ambiquity:
Solve 30/(m+1) = 10/(3m-5)
Here we have the LCD (m+1)(3m-5). Multiply both sides of this equation by this LCD and simplify the results:
30 10
(m+1)(3m-5)--------- = (m+1)(3m-5)----------
m+1 3m-5
After cancelling, we have:
30(3m-5) = 10(m+1),
which, when expanded, comes to:
90m - 150 = 10 m + 10
Combining like terms, we get:
80m = 160, and so m = 2.