Question

19 POINTS

Solve 30/m+1=10/3m-5

Show work

Answer 1

30(3m-5)=10(m+1);

90m-150=10m+10;

90m-10m=150+10;

80m=140;

m=140/80=14/8=1.75

Answer 2

m = 2

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.