Question

Question #ddcc0

Answer 1

Team Tackle scored `33` points and Team Sack scored `14` points.

Explanation:

We will represent Team Tackle's score as `x` and Team Sack's score as `y`. From the given data, we can write:

`x-y=19`
`x+y=47`

If we add the two equations we get:

`(x-y)+(x+y)=19+47`

Open the brackets and simplify.

`x-y+x+y=66`

`2x=66`

Divide both sides by `2`.

`x=33`

In the second equation, substitute `x` with `color(red)(33)`.

`x+y=47`

`color(red)(33)+y=47`

Subtract `33` from each side.

`y=14`