Question

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.

Answer 1

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

Answer 2

alright then should I move forward with the addition method?

Answer 3

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

Answer 4

use whichever method u want to solve it.

Answer 5

alright

Answer 6

thanks

Answer 7

u r welcome