Solve the equation and verify your answer: `(2-y)/(y+7)=3/5`

Explanation

`(2-y)/(y+7)=3/5`
On solving the equation,
`=>5(2 - y) = 3(y + 7)`
`=>10 - 5y = 3y + 21`
`=>10 - 21 = 3y + 5y`
`=>-11 = 8y`
`=>y = -11/8`

By substituting the value of ‘x’ we get,
`=>(2 – (-11/8)) / ((-11/8) + 7) = 3/5 `
`=>((16+11)/8) / ((-11+56)/8) = 3/5 `
`=>(27/8) / (45/8) = 3/5 `
`=>(27/8) × (8/45) = 3/5 `
`=>27/45 = 3/5 `
`=>3/5 = 3/5 `
Hence, the given equation is verified.