Question

(y+10)/11 - (5-y)/22 = 5

Answer 1

Given the equation:

`(y+10)/(11)-(5-y)/(22)=5`

we will find the value of y as follows:

1) Multiply all terms by 22

`\begin{gathered} 22\cdot((y+10))/(11)-22\cdot((5-y))/(22)=22\cdot5 \\ 2(y+10)-(5-y)=110 \end{gathered}`

2) simplify and combine the like terms

`\begin{gathered} 2y+20-5+y=110 \\ 3y+15=110 \end{gathered}`

3) Subtract 15 from both sides

`\begin{gathered} 3y+15-15=110-15 \\ 3y=95 \end{gathered}`

4) Divide both sides by 3

`\begin{gathered} (3y)/(3)=(95)/(3) \\ \\ y=(95)/(3)=31(2)/(3) \end{gathered}`