91.4k views
4 votes
Solve -1/3w -3/5 = 1/5w

Solve -1/3w -3/5 = 1/5w-example-1
User Medic
by
7.8k points

2 Answers

3 votes

Answer:

w= -9/8

Explanation:

-1/3w -3/5 = 1/5w

+1/3w +1/3 w

-3/5=1/5w+1/3w

Make common denominators to combine like terms of the right

-3/5=1/5w+1/3w

*3 *5

-3/5=3/15w+5/15w

-3/5=8/15w

multiply both sides by the reciprocal of 8/15 which is 15/8

-3/5*15/8=8/15w*15/8


(-3)/(5)*
(15)/(8) ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3


(-3)/(1)*
(3)/(8) -----> now multiply across

w= -9/8

User Alondono
by
8.3k points
3 votes

Answer: -6/7

Explanation:

-1/2w-3/5=1/5w

-w/2 - 3/5=w/5

Collect like terms

w/5 + w/2=-3/5

(2w + 5w)/10=-3/5

7w/10=-3/5

Cross multiply

7w x 5=-3 x 10

35w=-30

Divide both sides by 35

35w/35=-30/35

w=-6/7

User MofX
by
7.9k points

Related questions

1 answer
5 votes
36.5k views
2 answers
0 votes
112k views
asked Dec 21, 2024 151k views
Dan Parker asked Dec 21, 2024
by Dan Parker
7.8k points
2 answers
4 votes
151k views
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories