Question

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

Answer 1

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

Answer 2

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