Question

How do you solve the following system using substitution?: `5x-2y=19, 3x+17y=34`

Answer 1

`y= 103/97`, `x=?`

Explanation:

Note that
`5x-2y=19`
`implies x= (2y+19)/5`
Using the value of `x` in `3x+17y =34` we get
`3/5 * (2y+19)+17 y =34`
`implies 6y+57+85y = 170`
`implies 91y = 103`
`implies y = 103/97`
and put value of `y` in `x= (2y+19)/5` you will get `x`.