1 Answer

Jervis · Answer 1 · 2022-11-18T06:03:47+0000

Answer:

$-5\:\mathrm{and}\: 11$

Explanation:

We can write the following system of equations:

$\begin{cases}x+y=6\\x-y=16\\\end{cases}$

Adding both equations together, we isolate
and get:

$2x=22,\: x=11$

Plugging
x=11 in any of the equations, we can solve for
:

$11+y=6,\: y=-5$

Verify that the solution pair
(11, -5) works
$\checkmark$

Therefore, the two numbers are
$\fbox{$-5\:\mathrm{and}\: 11$}$ .

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