Question

1/3y+1/5=2 1/11y-7/15solve for y

Answer 1

y = 11/29 = 0.38

Step-by-step explanation:

We have:

`(1)/(3)y+(1)/(5)=2y+(1)/(11)y-(7)/(15)`

To solve this question, we have to find the least common multiple, which is 11*15 = 165.

To find the least common number, we have to factor the denominators together:

3, 5, 11, 15 | 3

1, 5, 11, 5 | 5

1, 1, 11, 1 | 11

1, 1, 1, 1

The least common multiple is 3*5*11 = 165.

`\begin{gathered} (1)/(3)y+(1)/(5)=2y+(1)/(11)y-(7)/(15) \\ (55y+33=165\cdot2y+15y-77)/(165) \\ 55y+33=330y+15y-77 \\ 55y-330y-15y=-77-33 \\ -290y=-110 \\ y=(-110)/(-290) \\ y=(11)/(29)=0.38 \end{gathered}`