Question

3x + y = 11 3x − 2y = 5?

Answer 1

I guess you're finding the values of `x` and `y`. The answer would be
`x=3`, and `y=2`

Explanation:

We can connect the two equations by making one side from each equation the same.

Firstly, we multiply the equations to get the number 55 on one side of each equation

`5(3x+y)=5(11)`

`11(3x-2y)=11(5)`

Let's expand the equations:

`15x+5y=55`

`33x-22y=55`

And connect them:

`15x+5y=55=33x-22y`

`15x+5y=33x-22y`

`15x-15x+5y+22y=33x-22y-15x+22y`

`27y=18x`

`3y=2x`

Now we take the equation `3x+y=11`, and convert the `y` to `x`.

`3x+(2/3)x=11`

`(11/3)x=11`

`x=3`
`y=2`