Question

Question #b5882

Answer 1

`x=-22/13` and `y=-29/13`

Explanation:

Ill do the first one as an example,

`x-3y=5` and `3x+7y=1`

The goal is to eliminate one of the variables so it is possible to solve for the other,

`x-3y=5` equation 1
`3x+7y=1` equation 2

Multiply the first equation by `3`, and subtract the first equation from the second equation.

`3x-6y=30`
`3x+7y=1`

Subtracting the equations gives you,

`-13y=29`
`y=-29/13`

Now knowing `y=-29/13`, you can solve for `x`. Do so by subsituting the value for `y` into equation 1.

`x-3(-29/13)=5`
`x+87/13=5`
`x=5-87/13`
`x=-22/13`

Therefore,

`x=-22/13` and `y=-29/13`