141k views
1 vote
What is 1/3d + 10 = 3/5d and please solve it step by step showing work.

1 Answer

4 votes

Answer: x = 75/2

Explanation:

First, separate the 1/3d and 10 by subtracting 1/3d to the right side so the equation is now: 10 = 3/5d - 1/3d

Next, Make the two fractions have a common denominator: (3/5 = 9/15) and (-1/3 = -5/15) and solve to get 4/15x

Then, your equation should be 10= 4/15x

So now multiply the 10 by 4/15's reciprocal (15/4) to get the variable x by itself: 10 × 15/4 or

(10×15) / (4×1) to get x = 150/4 now simplify

4 can go into 150 twice so the simplified answer is 75/2 or 37.5 in decimal form

User Victor BV
by
4.3k points