Question

How do you solve the following system: `3x + y = 2 , 4x + y = 2`?

Answer 1

See a solution process below:

Explanation:

First, subtract the two equations:

`color(white)(-)4x + y = 2`
`-(3x + y = 2)`
`"---------------------"`

`color(white)(-)4x + y = 2`
`-3x - y = -2`
`"-----------------------"`
`1x + 0y = 0`

`1x = 0`

`x = 0`

Now, substitute `0` for `x` in either equation and calculate `y`:

`3x + y = 2` becomes:

`(3 xx 0) + y = 2`

`0 + y 2`

`y = 2`

The Solution Is:

`x = 0` and `y = 2`

Or

`(0, 2)`