Question

How do you solve the system of equations `y= - x + 11` and `2x + 3y = 26`?

Answer 1

`x = 8`
`y = 3`

Explanation:

`y = -x + 11`
`2x+3y = 26`

If we know `y = -x + 11` then we can sub `y` for the other equation. This gives us:

`2x+3color(red)y = 26`

`2x+3(color(red)(-x+11)) = 26`

From here we solve for `x`:

`2x-3x+33=26`

`2x-3x = 26 -33`

`-1x = -8`

`color(blue)(x=8)`

Now we know `x` we can solve for `y` using our first equation:

`y = -color(red)x + 11`
`y = -color(red)8 + 11`
`color(blue)(y = 3)`