## anonymous 3 years ago The sum of 12 times the larger number and 11 times the smaller is -36. The difference of 12 times the larger and 7 times the smaller is 36. Find the numbers.

1. helder_edwin

let $$x$$ and $$y$$ the two numbers we r looking for. and suppose that $$x>y$$. then $\large 12x+11y=-36$ and $\large 12x-7y=36$

2. anonymous

alright then should I move forward with the addition method?

3. helder_edwin

u have a linear system $\large \begin{cases} 12x+11y=-36\\ 12x-7y=36 \end{cases}$

4. helder_edwin

use whichever method u want to solve it.

5. anonymous

alright

6. anonymous

thanks

7. helder_edwin

u r welcome