Answered

IDNStudy.com, kung saan ang iyong mga tanong ay natutugunan ng mga eksperto. Makakuha ng impormasyon mula sa aming mga eksperto, na nagbibigay ng maaasahang sagot sa lahat ng iyong mga tanong.

Math

A positive integer and a negative integer are 18 units apart.
the absolute value of the positive integer is 5 times the absolute value of the negative integer.
what are the two numbers?

Sagot :

Shinalcantaraidn
let 'x' be the negative integer
let 'y' be the positive integer
--------
since we are talking about the distance of the two numbers in the number line then we take the absolute values of the two
-------------
since they are 18 units apart then,
|x|+|y| = 18 -------equation 1
the absolute value of the positive integer is 5 times the absolute value of the negative integer
|y| = 5|x| ------equation 2
----------
since we've already assigned signs to the variables, then we may take equations 1&2 in its positive sense
x+y =18 -----equation 1'
y =5x ------equation 2'
---------
substitute equation 2' to equation 1'
x+y =18
x+(5x) = 18
6x = 18
divide the whole equation with 6
x = 3
----------
substitute x=3 to equation 2'
y = 5x
y = 5 (3)
y = 15
----------
Since we assign 'x' as negative and 'y' as positive then
x=-3
y=15
the two numbers are -3 & 15
Pinahahalagahan namin ang bawat ambag mo. Magpatuloy sa pagtatanong at pagbibigay ng mga sagot. Sama-sama tayong magtutulungan upang makamit ang mas mataas na antas ng karunungan. Ang IDNStudy.com ay nangako na sasagutin ang lahat ng iyong mga tanong. Salamat at bisitahin kami palagi.