Question

How do you solve the following system?: `1/2x=y-1 , 1/3x=y-5`

Answer 1

`x=24`
`y=13`

Explanation:

`1/2x=y-1` , `1/3x=y-5`
or
`x=2(y-1)` , `x=3(y-5)`
or
`x=2y-2` , `x=3y-15`
or
`2y-2=3y-15`
or
`3y-2y=15-2`
or
`y=13`---------Ans `1`

Since `x=2y-2`
or
`x=2(13)-2`
or
`x=26-2`
or
`x=24`--------Ans `2`